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Finding the Third Proportional to 402,348 and 873,897

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Solution

The third proportional to 402,348 and 873,897 is: 1,898,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,348 : 873,897 = 873,897 : x
  2. Step 2: Convert to fraction form
    402,348/873,897 = 873,897/x
  3. Step 3: Cross multiply
    402,348x = 873,897 × 873,897
  4. Step 4: Simplify right side
    402,348x = 763,695,966,609
  5. Step 5: Solve for x
    x = 763,695,966,609/402,348
  6. Step 6: Final answer
    x = 1,898,098.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.