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Finding the Third Proportional to 257,332 and 527,144

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Solution

The third proportional to 257,332 and 527,144 is: 1,079,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,332 : 527,144 = 527,144 : x
  2. Step 2: Convert to fraction form
    257,332/527,144 = 527,144/x
  3. Step 3: Cross multiply
    257,332x = 527,144 × 527,144
  4. Step 4: Simplify right side
    257,332x = 277,880,796,736
  5. Step 5: Solve for x
    x = 277,880,796,736/257,332
  6. Step 6: Final answer
    x = 1,079,853.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.