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Finding the Third Proportional to 359,163 and 785,636

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Solution

The third proportional to 359,163 and 785,636 is: 1,718,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,163 : 785,636 = 785,636 : x
  2. Step 2: Convert to fraction form
    359,163/785,636 = 785,636/x
  3. Step 3: Cross multiply
    359,163x = 785,636 × 785,636
  4. Step 4: Simplify right side
    359,163x = 617,223,924,496
  5. Step 5: Solve for x
    x = 617,223,924,496/359,163
  6. Step 6: Final answer
    x = 1,718,506.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.