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Finding the Third Proportional to 648,438 and 970,065

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Solution

The third proportional to 648,438 and 970,065 is: 1,451,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,438 : 970,065 = 970,065 : x
  2. Step 2: Convert to fraction form
    648,438/970,065 = 970,065/x
  3. Step 3: Cross multiply
    648,438x = 970,065 × 970,065
  4. Step 4: Simplify right side
    648,438x = 941,026,104,225
  5. Step 5: Solve for x
    x = 941,026,104,225/648,438
  6. Step 6: Final answer
    x = 1,451,219.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.