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Finding the Third Proportional to 506,412 and 790,722

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Solution

The third proportional to 506,412 and 790,722 is: 1,234,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,412 : 790,722 = 790,722 : x
  2. Step 2: Convert to fraction form
    506,412/790,722 = 790,722/x
  3. Step 3: Cross multiply
    506,412x = 790,722 × 790,722
  4. Step 4: Simplify right side
    506,412x = 625,241,281,284
  5. Step 5: Solve for x
    x = 625,241,281,284/506,412
  6. Step 6: Final answer
    x = 1,234,649.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.