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Finding the Third Proportional to 688,001 and 1,011,780

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Solution

The third proportional to 688,001 and 1,011,780 is: 1,487,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,001 : 1,011,780 = 1,011,780 : x
  2. Step 2: Convert to fraction form
    688,001/1,011,780 = 1,011,780/x
  3. Step 3: Cross multiply
    688,001x = 1,011,780 × 1,011,780
  4. Step 4: Simplify right side
    688,001x = 1,023,698,768,400
  5. Step 5: Solve for x
    x = 1,023,698,768,400/688,001
  6. Step 6: Final answer
    x = 1,487,932.09

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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.