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Finding the Third Proportional to 259,615.13 and 392,880.38

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Solution

The third proportional to 259,615.13 and 392,880.38 is: 594,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,615.13 : 392,880.38 = 392,880.38 : x
  2. Step 2: Convert to fraction form
    259,615.13/392,880.38 = 392,880.38/x
  3. Step 3: Cross multiply
    259,615.13x = 392,880.38 × 392,880.38
  4. Step 4: Simplify right side
    259,615.13x = 154,354,989,060.14
  5. Step 5: Solve for x
    x = 154,354,989,060.14/259,615.13
  6. Step 6: Final answer
    x = 594,553.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.