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Finding the Third Proportional to 378,475.03 and 564,432.05

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Solution

The third proportional to 378,475.03 and 564,432.05 is: 841,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,475.03 : 564,432.05 = 564,432.05 : x
  2. Step 2: Convert to fraction form
    378,475.03/564,432.05 = 564,432.05/x
  3. Step 3: Cross multiply
    378,475.03x = 564,432.05 × 564,432.05
  4. Step 4: Simplify right side
    378,475.03x = 318,583,535,539.50
  5. Step 5: Solve for x
    x = 318,583,535,539.50/378,475.03
  6. Step 6: Final answer
    x = 841,755.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.