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Finding the Third Proportional to 688,379 and 1,012,309

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Solution

The third proportional to 688,379 and 1,012,309 is: 1,488,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,379 : 1,012,309 = 1,012,309 : x
  2. Step 2: Convert to fraction form
    688,379/1,012,309 = 1,012,309/x
  3. Step 3: Cross multiply
    688,379x = 1,012,309 × 1,012,309
  4. Step 4: Simplify right side
    688,379x = 1,024,769,511,481
  5. Step 5: Solve for x
    x = 1,024,769,511,481/688,379
  6. Step 6: Final answer
    x = 1,488,670.50

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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.