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Finding the Third Proportional to 687,999 and 1,011,776

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Solution

The third proportional to 687,999 and 1,011,776 is: 1,487,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,999 : 1,011,776 = 1,011,776 : x
  2. Step 2: Convert to fraction form
    687,999/1,011,776 = 1,011,776/x
  3. Step 3: Cross multiply
    687,999x = 1,011,776 × 1,011,776
  4. Step 4: Simplify right side
    687,999x = 1,023,690,674,176
  5. Step 5: Solve for x
    x = 1,023,690,674,176/687,999
  6. Step 6: Final answer
    x = 1,487,924.65

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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.