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Finding the Third Proportional to 565,146 and 853,479

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Solution

The third proportional to 565,146 and 853,479 is: 1,288,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,146 : 853,479 = 853,479 : x
  2. Step 2: Convert to fraction form
    565,146/853,479 = 853,479/x
  3. Step 3: Cross multiply
    565,146x = 853,479 × 853,479
  4. Step 4: Simplify right side
    565,146x = 728,426,403,441
  5. Step 5: Solve for x
    x = 728,426,403,441/565,146
  6. Step 6: Final answer
    x = 1,288,917.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.