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Finding the Third Proportional to 762,408 and 1,657,617

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Solution

The third proportional to 762,408 and 1,657,617 is: 3,603,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,408 : 1,657,617 = 1,657,617 : x
  2. Step 2: Convert to fraction form
    762,408/1,657,617 = 1,657,617/x
  3. Step 3: Cross multiply
    762,408x = 1,657,617 × 1,657,617
  4. Step 4: Simplify right side
    762,408x = 2,747,694,118,689
  5. Step 5: Solve for x
    x = 2,747,694,118,689/762,408
  6. Step 6: Final answer
    x = 3,603,968.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.