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Finding the Third Proportional to 229,513 and 312,897

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Solution

The third proportional to 229,513 and 312,897 is: 426,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,513 : 312,897 = 312,897 : x
  2. Step 2: Convert to fraction form
    229,513/312,897 = 312,897/x
  3. Step 3: Cross multiply
    229,513x = 312,897 × 312,897
  4. Step 4: Simplify right side
    229,513x = 97,904,532,609
  5. Step 5: Solve for x
    x = 97,904,532,609/229,513
  6. Step 6: Final answer
    x = 426,575.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.