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Finding the Third Proportional to 311,755.50 and 469,864.13

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Solution

The third proportional to 311,755.50 and 469,864.13 is: 708,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,755.50 : 469,864.13 = 469,864.13 : x
  2. Step 2: Convert to fraction form
    311,755.50/469,864.13 = 469,864.13/x
  3. Step 3: Cross multiply
    311,755.50x = 469,864.13 × 469,864.13
  4. Step 4: Simplify right side
    311,755.50x = 220,772,295,962.02
  5. Step 5: Solve for x
    x = 220,772,295,962.02/311,755.50
  6. Step 6: Final answer
    x = 708,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.