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Finding the Third Proportional to 257,499 and 532,818

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Solution

The third proportional to 257,499 and 532,818 is: 1,102,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,499 : 532,818 = 532,818 : x
  2. Step 2: Convert to fraction form
    257,499/532,818 = 532,818/x
  3. Step 3: Cross multiply
    257,499x = 532,818 × 532,818
  4. Step 4: Simplify right side
    257,499x = 283,895,021,124
  5. Step 5: Solve for x
    x = 283,895,021,124/257,499
  6. Step 6: Final answer
    x = 1,102,509.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.