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Finding the Third Proportional to 238,835 and 521,959

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Solution

The third proportional to 238,835 and 521,959 is: 1,140,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,835 : 521,959 = 521,959 : x
  2. Step 2: Convert to fraction form
    238,835/521,959 = 521,959/x
  3. Step 3: Cross multiply
    238,835x = 521,959 × 521,959
  4. Step 4: Simplify right side
    238,835x = 272,441,197,681
  5. Step 5: Solve for x
    x = 272,441,197,681/238,835
  6. Step 6: Final answer
    x = 1,140,708.85

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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.