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Finding the Third Proportional to 388,312 and 581,892

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Solution

The third proportional to 388,312 and 581,892 is: 871,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,312 : 581,892 = 581,892 : x
  2. Step 2: Convert to fraction form
    388,312/581,892 = 581,892/x
  3. Step 3: Cross multiply
    388,312x = 581,892 × 581,892
  4. Step 4: Simplify right side
    388,312x = 338,598,299,664
  5. Step 5: Solve for x
    x = 338,598,299,664/388,312
  6. Step 6: Final answer
    x = 871,974.85

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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.