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Finding the Third Proportional to 305,347 and 448,897

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Solution

The third proportional to 305,347 and 448,897 is: 659,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,347 : 448,897 = 448,897 : x
  2. Step 2: Convert to fraction form
    305,347/448,897 = 448,897/x
  3. Step 3: Cross multiply
    305,347x = 448,897 × 448,897
  4. Step 4: Simplify right side
    305,347x = 201,508,516,609
  5. Step 5: Solve for x
    x = 201,508,516,609/305,347
  6. Step 6: Final answer
    x = 659,932.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.