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Finding the Third Proportional to 410,388 and 655,596

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Solution

The third proportional to 410,388 and 655,596 is: 1,047,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,388 : 655,596 = 655,596 : x
  2. Step 2: Convert to fraction form
    410,388/655,596 = 655,596/x
  3. Step 3: Cross multiply
    410,388x = 655,596 × 655,596
  4. Step 4: Simplify right side
    410,388x = 429,806,115,216
  5. Step 5: Solve for x
    x = 429,806,115,216/410,388
  6. Step 6: Final answer
    x = 1,047,316.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.