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Finding the Third Proportional to 106,484,481 and 163,573,202.25

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Solution

The third proportional to 106,484,481 and 163,573,202.25 is: 251,268,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,484,481 : 163,573,202.25 = 163,573,202.25 : x
  2. Step 2: Convert to fraction form
    106,484,481/163,573,202.25 = 163,573,202.25/x
  3. Step 3: Cross multiply
    106,484,481x = 163,573,202.25 × 163,573,202.25
  4. Step 4: Simplify right side
    106,484,481x = 26,756,192,494,319,404
  5. Step 5: Solve for x
    x = 26,756,192,494,319,404/106,484,481
  6. Step 6: Final answer
    x = 251,268,468.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.