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Finding the Third Proportional to 638,992 and 700,432

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Solution

The third proportional to 638,992 and 700,432 is: 767,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,992 : 700,432 = 700,432 : x
  2. Step 2: Convert to fraction form
    638,992/700,432 = 700,432/x
  3. Step 3: Cross multiply
    638,992x = 700,432 × 700,432
  4. Step 4: Simplify right side
    638,992x = 490,604,986,624
  5. Step 5: Solve for x
    x = 490,604,986,624/638,992
  6. Step 6: Final answer
    x = 767,779.54

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.