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Finding the Third Proportional to 638,750 and 958,143

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Solution

The third proportional to 638,750 and 958,143 is: 1,437,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,750 : 958,143 = 958,143 : x
  2. Step 2: Convert to fraction form
    638,750/958,143 = 958,143/x
  3. Step 3: Cross multiply
    638,750x = 958,143 × 958,143
  4. Step 4: Simplify right side
    638,750x = 918,038,008,449
  5. Step 5: Solve for x
    x = 918,038,008,449/638,750
  6. Step 6: Final answer
    x = 1,437,241.50

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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.