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Finding the Third Proportional to 864,670 and 1,381,329

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Solution

The third proportional to 864,670 and 1,381,329 is: 2,206,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,670 : 1,381,329 = 1,381,329 : x
  2. Step 2: Convert to fraction form
    864,670/1,381,329 = 1,381,329/x
  3. Step 3: Cross multiply
    864,670x = 1,381,329 × 1,381,329
  4. Step 4: Simplify right side
    864,670x = 1,908,069,806,241
  5. Step 5: Solve for x
    x = 1,908,069,806,241/864,670
  6. Step 6: Final answer
    x = 2,206,702.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.