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Finding the Third Proportional to 562,221 and 869,604

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Solution

The third proportional to 562,221 and 869,604 is: 1,345,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,221 : 869,604 = 869,604 : x
  2. Step 2: Convert to fraction form
    562,221/869,604 = 869,604/x
  3. Step 3: Cross multiply
    562,221x = 869,604 × 869,604
  4. Step 4: Simplify right side
    562,221x = 756,211,116,816
  5. Step 5: Solve for x
    x = 756,211,116,816/562,221
  6. Step 6: Final answer
    x = 1,345,042.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.