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Finding the Third Proportional to 266,312 and 404,920

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Solution

The third proportional to 266,312 and 404,920 is: 615,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,312 : 404,920 = 404,920 : x
  2. Step 2: Convert to fraction form
    266,312/404,920 = 404,920/x
  3. Step 3: Cross multiply
    266,312x = 404,920 × 404,920
  4. Step 4: Simplify right side
    266,312x = 163,960,206,400
  5. Step 5: Solve for x
    x = 163,960,206,400/266,312
  6. Step 6: Final answer
    x = 615,669.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.