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Finding the Third Proportional to 287,837 and 626,737

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Solution

The third proportional to 287,837 and 626,737 is: 1,364,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,837 : 626,737 = 626,737 : x
  2. Step 2: Convert to fraction form
    287,837/626,737 = 626,737/x
  3. Step 3: Cross multiply
    287,837x = 626,737 × 626,737
  4. Step 4: Simplify right side
    287,837x = 392,799,267,169
  5. Step 5: Solve for x
    x = 392,799,267,169/287,837
  6. Step 6: Final answer
    x = 1,364,658.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.