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Finding the Third Proportional to 257,729.63 and 553,600.13

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Solution

The third proportional to 257,729.63 and 553,600.13 is: 1,189,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,729.63 : 553,600.13 = 553,600.13 : x
  2. Step 2: Convert to fraction form
    257,729.63/553,600.13 = 553,600.13/x
  3. Step 3: Cross multiply
    257,729.63x = 553,600.13 × 553,600.13
  4. Step 4: Simplify right side
    257,729.63x = 306,473,098,400.02
  5. Step 5: Solve for x
    x = 306,473,098,400.02/257,729.63
  6. Step 6: Final answer
    x = 1,189,126.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.