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Finding the Third Proportional to 319,711.50 and 477,373.50

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Solution

The third proportional to 319,711.50 and 477,373.50 is: 712,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,711.50 : 477,373.50 = 477,373.50 : x
  2. Step 2: Convert to fraction form
    319,711.50/477,373.50 = 477,373.50/x
  3. Step 3: Cross multiply
    319,711.50x = 477,373.50 × 477,373.50
  4. Step 4: Simplify right side
    319,711.50x = 227,885,458,502.25
  5. Step 5: Solve for x
    x = 227,885,458,502.25/319,711.50
  6. Step 6: Final answer
    x = 712,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.