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Finding the Third Proportional to 385,701.75 and 578,188.13

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Solution

The third proportional to 385,701.75 and 578,188.13 is: 866,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,701.75 : 578,188.13 = 578,188.13 : x
  2. Step 2: Convert to fraction form
    385,701.75/578,188.13 = 578,188.13/x
  3. Step 3: Cross multiply
    385,701.75x = 578,188.13 × 578,188.13
  4. Step 4: Simplify right side
    385,701.75x = 334,301,507,891.02
  5. Step 5: Solve for x
    x = 334,301,507,891.02/385,701.75
  6. Step 6: Final answer
    x = 866,735.78

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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.