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Finding the Third Proportional to 137,776.50 and 208,740.38

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Solution

The third proportional to 137,776.50 and 208,740.38 is: 316,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,776.50 : 208,740.38 = 208,740.38 : x
  2. Step 2: Convert to fraction form
    137,776.50/208,740.38 = 208,740.38/x
  3. Step 3: Cross multiply
    137,776.50x = 208,740.38 × 208,740.38
  4. Step 4: Simplify right side
    137,776.50x = 43,572,544,155.14
  5. Step 5: Solve for x
    x = 43,572,544,155.14/137,776.50
  6. Step 6: Final answer
    x = 316,255.27

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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.