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Finding the Third Proportional to 257,453 and 538,432

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Solution

The third proportional to 257,453 and 538,432 is: 1,126,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,453 : 538,432 = 538,432 : x
  2. Step 2: Convert to fraction form
    257,453/538,432 = 538,432/x
  3. Step 3: Cross multiply
    257,453x = 538,432 × 538,432
  4. Step 4: Simplify right side
    257,453x = 289,909,018,624
  5. Step 5: Solve for x
    x = 289,909,018,624/257,453
  6. Step 6: Final answer
    x = 1,126,065.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.