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Finding the Third Proportional to 276,430 and 391,478

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Solution

The third proportional to 276,430 and 391,478 is: 554,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,430 : 391,478 = 391,478 : x
  2. Step 2: Convert to fraction form
    276,430/391,478 = 391,478/x
  3. Step 3: Cross multiply
    276,430x = 391,478 × 391,478
  4. Step 4: Simplify right side
    276,430x = 153,255,024,484
  5. Step 5: Solve for x
    x = 153,255,024,484/276,430
  6. Step 6: Final answer
    x = 554,408.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.