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Finding the Third Proportional to 487,319 and 730,979

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Solution

The third proportional to 487,319 and 730,979 is: 1,096,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,319 : 730,979 = 730,979 : x
  2. Step 2: Convert to fraction form
    487,319/730,979 = 730,979/x
  3. Step 3: Cross multiply
    487,319x = 730,979 × 730,979
  4. Step 4: Simplify right side
    487,319x = 534,330,298,441
  5. Step 5: Solve for x
    x = 534,330,298,441/487,319
  6. Step 6: Final answer
    x = 1,096,469.25

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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.