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Finding the Third Proportional to 393,454.13 and 577,258.31

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Solution

The third proportional to 393,454.13 and 577,258.31 is: 846,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,454.13 : 577,258.31 = 577,258.31 : x
  2. Step 2: Convert to fraction form
    393,454.13/577,258.31 = 577,258.31/x
  3. Step 3: Cross multiply
    393,454.13x = 577,258.31 × 577,258.31
  4. Step 4: Simplify right side
    393,454.13x = 333,227,159,350.35
  5. Step 5: Solve for x
    x = 333,227,159,350.35/393,454.13
  6. Step 6: Final answer
    x = 846,927.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.