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Finding the Third Proportional to 487,313 and 730,970

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Solution

The third proportional to 487,313 and 730,970 is: 1,096,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,313 : 730,970 = 730,970 : x
  2. Step 2: Convert to fraction form
    487,313/730,970 = 730,970/x
  3. Step 3: Cross multiply
    487,313x = 730,970 × 730,970
  4. Step 4: Simplify right side
    487,313x = 534,317,140,900
  5. Step 5: Solve for x
    x = 534,317,140,900/487,313
  6. Step 6: Final answer
    x = 1,096,455.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.