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Finding the Third Proportional to 680,790 and 1,447,692

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Solution

The third proportional to 680,790 and 1,447,692 is: 3,078,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,790 : 1,447,692 = 1,447,692 : x
  2. Step 2: Convert to fraction form
    680,790/1,447,692 = 1,447,692/x
  3. Step 3: Cross multiply
    680,790x = 1,447,692 × 1,447,692
  4. Step 4: Simplify right side
    680,790x = 2,095,812,126,864
  5. Step 5: Solve for x
    x = 2,095,812,126,864/680,790
  6. Step 6: Final answer
    x = 3,078,500.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.