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Finding the Third Proportional to 157,464 and 212,139

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Solution

The third proportional to 157,464 and 212,139 is: 285,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464 : 212,139 = 212,139 : x
  2. Step 2: Convert to fraction form
    157,464/212,139 = 212,139/x
  3. Step 3: Cross multiply
    157,464x = 212,139 × 212,139
  4. Step 4: Simplify right side
    157,464x = 45,002,955,321
  5. Step 5: Solve for x
    x = 45,002,955,321/157,464
  6. Step 6: Final answer
    x = 285,798.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.