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Finding the Third Proportional to 690,101 and 1,508,140

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Solution

The third proportional to 690,101 and 1,508,140 is: 3,295,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,101 : 1,508,140 = 1,508,140 : x
  2. Step 2: Convert to fraction form
    690,101/1,508,140 = 1,508,140/x
  3. Step 3: Cross multiply
    690,101x = 1,508,140 × 1,508,140
  4. Step 4: Simplify right side
    690,101x = 2,274,486,259,600
  5. Step 5: Solve for x
    x = 2,274,486,259,600/690,101
  6. Step 6: Final answer
    x = 3,295,874.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.