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Finding the Third Proportional to 387,423 and 581,125.50

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Solution

The third proportional to 387,423 and 581,125.50 is: 871,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,423 : 581,125.50 = 581,125.50 : x
  2. Step 2: Convert to fraction form
    387,423/581,125.50 = 581,125.50/x
  3. Step 3: Cross multiply
    387,423x = 581,125.50 × 581,125.50
  4. Step 4: Simplify right side
    387,423x = 337,706,846,750.25
  5. Step 5: Solve for x
    x = 337,706,846,750.25/387,423
  6. Step 6: Final answer
    x = 871,674.75

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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.