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Finding the Third Proportional to 311,271.75 and 469,765.13

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Solution

The third proportional to 311,271.75 and 469,765.13 is: 708,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,271.75 : 469,765.13 = 469,765.13 : x
  2. Step 2: Convert to fraction form
    311,271.75/469,765.13 = 469,765.13/x
  3. Step 3: Cross multiply
    311,271.75x = 469,765.13 × 469,765.13
  4. Step 4: Simplify right side
    311,271.75x = 220,679,272,666.27
  5. Step 5: Solve for x
    x = 220,679,272,666.27/311,271.75
  6. Step 6: Final answer
    x = 708,960.17

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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.