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Finding the Third Proportional to 611,388 and 815,400

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Solution

The third proportional to 611,388 and 815,400 is: 1,087,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,388 : 815,400 = 815,400 : x
  2. Step 2: Convert to fraction form
    611,388/815,400 = 815,400/x
  3. Step 3: Cross multiply
    611,388x = 815,400 × 815,400
  4. Step 4: Simplify right side
    611,388x = 664,877,160,000
  5. Step 5: Solve for x
    x = 664,877,160,000/611,388
  6. Step 6: Final answer
    x = 1,087,488.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.