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Finding the Third Proportional to 402,263 and 837,897

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Solution

The third proportional to 402,263 and 837,897 is: 1,745,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,263 : 837,897 = 837,897 : x
  2. Step 2: Convert to fraction form
    402,263/837,897 = 837,897/x
  3. Step 3: Cross multiply
    402,263x = 837,897 × 837,897
  4. Step 4: Simplify right side
    402,263x = 702,071,382,609
  5. Step 5: Solve for x
    x = 702,071,382,609/402,263
  6. Step 6: Final answer
    x = 1,745,304.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.