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Finding the Third Proportional to 478,452 and 742,950

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Solution

The third proportional to 478,452 and 742,950 is: 1,153,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,452 : 742,950 = 742,950 : x
  2. Step 2: Convert to fraction form
    478,452/742,950 = 742,950/x
  3. Step 3: Cross multiply
    478,452x = 742,950 × 742,950
  4. Step 4: Simplify right side
    478,452x = 551,974,702,500
  5. Step 5: Solve for x
    x = 551,974,702,500/478,452
  6. Step 6: Final answer
    x = 1,153,667.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.