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Finding the Third Proportional to 803,549 and 1,215,690

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Solution

The third proportional to 803,549 and 1,215,690 is: 1,839,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,549 : 1,215,690 = 1,215,690 : x
  2. Step 2: Convert to fraction form
    803,549/1,215,690 = 1,215,690/x
  3. Step 3: Cross multiply
    803,549x = 1,215,690 × 1,215,690
  4. Step 4: Simplify right side
    803,549x = 1,477,902,176,100
  5. Step 5: Solve for x
    x = 1,477,902,176,100/803,549
  6. Step 6: Final answer
    x = 1,839,218.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.