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Finding the Third Proportional to 690,812 and 1,486,602

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Solution

The third proportional to 690,812 and 1,486,602 is: 3,199,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,812 : 1,486,602 = 1,486,602 : x
  2. Step 2: Convert to fraction form
    690,812/1,486,602 = 1,486,602/x
  3. Step 3: Cross multiply
    690,812x = 1,486,602 × 1,486,602
  4. Step 4: Simplify right side
    690,812x = 2,209,985,506,404
  5. Step 5: Solve for x
    x = 2,209,985,506,404/690,812
  6. Step 6: Final answer
    x = 3,199,112.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.