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Finding the Third Proportional to 572,182 and 840,756

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Solution

The third proportional to 572,182 and 840,756 is: 1,235,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,182 : 840,756 = 840,756 : x
  2. Step 2: Convert to fraction form
    572,182/840,756 = 840,756/x
  3. Step 3: Cross multiply
    572,182x = 840,756 × 840,756
  4. Step 4: Simplify right side
    572,182x = 706,870,651,536
  5. Step 5: Solve for x
    x = 706,870,651,536/572,182
  6. Step 6: Final answer
    x = 1,235,394.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.