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Finding the Third Proportional to 320,542,470 and 478,926,765

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Solution

The third proportional to 320,542,470 and 478,926,765 is: 715,570,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,542,470 : 478,926,765 = 478,926,765 : x
  2. Step 2: Convert to fraction form
    320,542,470/478,926,765 = 478,926,765/x
  3. Step 3: Cross multiply
    320,542,470x = 478,926,765 × 478,926,765
  4. Step 4: Simplify right side
    320,542,470x = 229,370,846,233,365,216
  5. Step 5: Solve for x
    x = 229,370,846,233,365,216/320,542,470
  6. Step 6: Final answer
    x = 715,570,845.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.