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Finding the Third Proportional to 138,700.69 and 208,848.38

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Solution

The third proportional to 138,700.69 and 208,848.38 is: 314,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,700.69 : 208,848.38 = 208,848.38 : x
  2. Step 2: Convert to fraction form
    138,700.69/208,848.38 = 208,848.38/x
  3. Step 3: Cross multiply
    138,700.69x = 208,848.38 × 208,848.38
  4. Step 4: Simplify right side
    138,700.69x = 43,617,643,740.14
  5. Step 5: Solve for x
    x = 43,617,643,740.14/138,700.69
  6. Step 6: Final answer
    x = 314,473.16

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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.