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Finding the Third Proportional to 278,165.81 and 430,371.56

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Solution

The third proportional to 278,165.81 and 430,371.56 is: 665,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,165.81 : 430,371.56 = 430,371.56 : x
  2. Step 2: Convert to fraction form
    278,165.81/430,371.56 = 430,371.56/x
  3. Step 3: Cross multiply
    278,165.81x = 430,371.56 × 430,371.56
  4. Step 4: Simplify right side
    278,165.81x = 185,219,681,808.69
  5. Step 5: Solve for x
    x = 185,219,681,808.69/278,165.81
  6. Step 6: Final answer
    x = 665,860.70

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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.