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Finding the Third Proportional to 690,416 and 1,476,790

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Solution

The third proportional to 690,416 and 1,476,790 is: 3,158,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,416 : 1,476,790 = 1,476,790 : x
  2. Step 2: Convert to fraction form
    690,416/1,476,790 = 1,476,790/x
  3. Step 3: Cross multiply
    690,416x = 1,476,790 × 1,476,790
  4. Step 4: Simplify right side
    690,416x = 2,180,908,704,100
  5. Step 5: Solve for x
    x = 2,180,908,704,100/690,416
  6. Step 6: Final answer
    x = 3,158,832.80

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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.