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Finding the Third Proportional to 148,988 and 351,395

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Solution

The third proportional to 148,988 and 351,395 is: 828,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,988 : 351,395 = 351,395 : x
  2. Step 2: Convert to fraction form
    148,988/351,395 = 351,395/x
  3. Step 3: Cross multiply
    148,988x = 351,395 × 351,395
  4. Step 4: Simplify right side
    148,988x = 123,478,446,025
  5. Step 5: Solve for x
    x = 123,478,446,025/148,988
  6. Step 6: Final answer
    x = 828,781.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.