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Finding the Third Proportional to 151,402 and 318,484

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Solution

The third proportional to 151,402 and 318,484 is: 669,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,402 : 318,484 = 318,484 : x
  2. Step 2: Convert to fraction form
    151,402/318,484 = 318,484/x
  3. Step 3: Cross multiply
    151,402x = 318,484 × 318,484
  4. Step 4: Simplify right side
    151,402x = 101,432,058,256
  5. Step 5: Solve for x
    x = 101,432,058,256/151,402
  6. Step 6: Final answer
    x = 669,951.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.