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Finding the Third Proportional to 688,408 and 1,482,280

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Solution

The third proportional to 688,408 and 1,482,280 is: 3,191,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,408 : 1,482,280 = 1,482,280 : x
  2. Step 2: Convert to fraction form
    688,408/1,482,280 = 1,482,280/x
  3. Step 3: Cross multiply
    688,408x = 1,482,280 × 1,482,280
  4. Step 4: Simplify right side
    688,408x = 2,197,153,998,400
  5. Step 5: Solve for x
    x = 2,197,153,998,400/688,408
  6. Step 6: Final answer
    x = 3,191,645.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.