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Finding the Third Proportional to 690,486 and 1,476,918

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Solution

The third proportional to 690,486 and 1,476,918 is: 3,159,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,486 : 1,476,918 = 1,476,918 : x
  2. Step 2: Convert to fraction form
    690,486/1,476,918 = 1,476,918/x
  3. Step 3: Cross multiply
    690,486x = 1,476,918 × 1,476,918
  4. Step 4: Simplify right side
    690,486x = 2,181,286,778,724
  5. Step 5: Solve for x
    x = 2,181,286,778,724/690,486
  6. Step 6: Final answer
    x = 3,159,060.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.