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Finding the Third Proportional to 257,324 and 564,495

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Solution

The third proportional to 257,324 and 564,495 is: 1,238,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,324 : 564,495 = 564,495 : x
  2. Step 2: Convert to fraction form
    257,324/564,495 = 564,495/x
  3. Step 3: Cross multiply
    257,324x = 564,495 × 564,495
  4. Step 4: Simplify right side
    257,324x = 318,654,605,025
  5. Step 5: Solve for x
    x = 318,654,605,025/257,324
  6. Step 6: Final answer
    x = 1,238,340.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.