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Finding the Third Proportional to 308,335,710,666 and 471,365,787,543

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Solution

The third proportional to 308,335,710,666 and 471,365,787,543 is: 720,596,732,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,335,710,666 : 471,365,787,543 = 471,365,787,543 : x
  2. Step 2: Convert to fraction form
    308,335,710,666/471,365,787,543 = 471,365,787,543/x
  3. Step 3: Cross multiply
    308,335,710,666x = 471,365,787,543 × 471,365,787,543
  4. Step 4: Simplify right side
    308,335,710,666x = 222,185,705,666,032,613,457,920
  5. Step 5: Solve for x
    x = 222,185,705,666,032,613,457,920/308,335,710,666
  6. Step 6: Final answer
    x = 720,596,732,652.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.