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Finding the Third Proportional to 138,942 and 215,276

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Solution

The third proportional to 138,942 and 215,276 is: 333,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942 : 215,276 = 215,276 : x
  2. Step 2: Convert to fraction form
    138,942/215,276 = 215,276/x
  3. Step 3: Cross multiply
    138,942x = 215,276 × 215,276
  4. Step 4: Simplify right side
    138,942x = 46,343,756,176
  5. Step 5: Solve for x
    x = 46,343,756,176/138,942
  6. Step 6: Final answer
    x = 333,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.