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Finding the Third Proportional to 158,438 and 344,308

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Solution

The third proportional to 158,438 and 344,308 is: 748,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438 : 344,308 = 344,308 : x
  2. Step 2: Convert to fraction form
    158,438/344,308 = 344,308/x
  3. Step 3: Cross multiply
    158,438x = 344,308 × 344,308
  4. Step 4: Simplify right side
    158,438x = 118,547,998,864
  5. Step 5: Solve for x
    x = 118,547,998,864/158,438
  6. Step 6: Final answer
    x = 748,229.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.