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Finding the Third Proportional to 520,656 and 778,944

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Solution

The third proportional to 520,656 and 778,944 is: 1,165,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,656 : 778,944 = 778,944 : x
  2. Step 2: Convert to fraction form
    520,656/778,944 = 778,944/x
  3. Step 3: Cross multiply
    520,656x = 778,944 × 778,944
  4. Step 4: Simplify right side
    520,656x = 606,753,755,136
  5. Step 5: Solve for x
    x = 606,753,755,136/520,656
  6. Step 6: Final answer
    x = 1,165,363.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.