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Finding the Third Proportional to 688,142 and 1,487,001

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Solution

The third proportional to 688,142 and 1,487,001 is: 3,213,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,142 : 1,487,001 = 1,487,001 : x
  2. Step 2: Convert to fraction form
    688,142/1,487,001 = 1,487,001/x
  3. Step 3: Cross multiply
    688,142x = 1,487,001 × 1,487,001
  4. Step 4: Simplify right side
    688,142x = 2,211,171,974,001
  5. Step 5: Solve for x
    x = 2,211,171,974,001/688,142
  6. Step 6: Final answer
    x = 3,213,249.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.