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Finding the Third Proportional to 869,175 and 1,278,630

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Solution

The third proportional to 869,175 and 1,278,630 is: 1,880,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,175 : 1,278,630 = 1,278,630 : x
  2. Step 2: Convert to fraction form
    869,175/1,278,630 = 1,278,630/x
  3. Step 3: Cross multiply
    869,175x = 1,278,630 × 1,278,630
  4. Step 4: Simplify right side
    869,175x = 1,634,894,676,900
  5. Step 5: Solve for x
    x = 1,634,894,676,900/869,175
  6. Step 6: Final answer
    x = 1,880,972.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.