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Finding the Third Proportional to 276,214 and 426,532

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Solution

The third proportional to 276,214 and 426,532 is: 658,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,214 : 426,532 = 426,532 : x
  2. Step 2: Convert to fraction form
    276,214/426,532 = 426,532/x
  3. Step 3: Cross multiply
    276,214x = 426,532 × 426,532
  4. Step 4: Simplify right side
    276,214x = 181,929,547,024
  5. Step 5: Solve for x
    x = 181,929,547,024/276,214
  6. Step 6: Final answer
    x = 658,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.