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Finding the Third Proportional to 690,991 and 1,495,165

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Solution

The third proportional to 690,991 and 1,495,165 is: 3,235,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,991 : 1,495,165 = 1,495,165 : x
  2. Step 2: Convert to fraction form
    690,991/1,495,165 = 1,495,165/x
  3. Step 3: Cross multiply
    690,991x = 1,495,165 × 1,495,165
  4. Step 4: Simplify right side
    690,991x = 2,235,518,377,225
  5. Step 5: Solve for x
    x = 2,235,518,377,225/690,991
  6. Step 6: Final answer
    x = 3,235,235.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.