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Finding the Third Proportional to 152,461.50 and 334,461

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Solution

The third proportional to 152,461.50 and 334,461 is: 733,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,461.50 : 334,461 = 334,461 : x
  2. Step 2: Convert to fraction form
    152,461.50/334,461 = 334,461/x
  3. Step 3: Cross multiply
    152,461.50x = 334,461 × 334,461
  4. Step 4: Simplify right side
    152,461.50x = 111,864,160,521
  5. Step 5: Solve for x
    x = 111,864,160,521/152,461.50
  6. Step 6: Final answer
    x = 733,720.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.