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Finding the Third Proportional to 155,554 and 332,431

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Solution

The third proportional to 155,554 and 332,431 is: 710,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,554 : 332,431 = 332,431 : x
  2. Step 2: Convert to fraction form
    155,554/332,431 = 332,431/x
  3. Step 3: Cross multiply
    155,554x = 332,431 × 332,431
  4. Step 4: Simplify right side
    155,554x = 110,510,369,761
  5. Step 5: Solve for x
    x = 110,510,369,761/155,554
  6. Step 6: Final answer
    x = 710,430.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.