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Finding the Third Proportional to 311,499.75 and 473,407.13

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Solution

The third proportional to 311,499.75 and 473,407.13 is: 719,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,499.75 : 473,407.13 = 473,407.13 : x
  2. Step 2: Convert to fraction form
    311,499.75/473,407.13 = 473,407.13/x
  3. Step 3: Cross multiply
    311,499.75x = 473,407.13 × 473,407.13
  4. Step 4: Simplify right side
    311,499.75x = 224,114,306,000.77
  5. Step 5: Solve for x
    x = 224,114,306,000.77/311,499.75
  6. Step 6: Final answer
    x = 719,468.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.