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Finding the Third Proportional to 656,478 and 1,358,478

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Solution

The third proportional to 656,478 and 1,358,478 is: 2,811,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,478 : 1,358,478 = 1,358,478 : x
  2. Step 2: Convert to fraction form
    656,478/1,358,478 = 1,358,478/x
  3. Step 3: Cross multiply
    656,478x = 1,358,478 × 1,358,478
  4. Step 4: Simplify right side
    656,478x = 1,845,462,476,484
  5. Step 5: Solve for x
    x = 1,845,462,476,484/656,478
  6. Step 6: Final answer
    x = 2,811,156.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.