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Finding the Third Proportional to 185,445 and 278,040

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Solution

The third proportional to 185,445 and 278,040 is: 416,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,445 : 278,040 = 278,040 : x
  2. Step 2: Convert to fraction form
    185,445/278,040 = 278,040/x
  3. Step 3: Cross multiply
    185,445x = 278,040 × 278,040
  4. Step 4: Simplify right side
    185,445x = 77,306,241,600
  5. Step 5: Solve for x
    x = 77,306,241,600/185,445
  6. Step 6: Final answer
    x = 416,868.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.