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Finding the Third Proportional to 359,564 and 781,880

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Solution

The third proportional to 359,564 and 781,880 is: 1,700,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,564 : 781,880 = 781,880 : x
  2. Step 2: Convert to fraction form
    359,564/781,880 = 781,880/x
  3. Step 3: Cross multiply
    359,564x = 781,880 × 781,880
  4. Step 4: Simplify right side
    359,564x = 611,336,334,400
  5. Step 5: Solve for x
    x = 611,336,334,400/359,564
  6. Step 6: Final answer
    x = 1,700,215.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.