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Finding the Third Proportional to 403,396 and 859,780

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Solution

The third proportional to 403,396 and 859,780 is: 1,832,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,396 : 859,780 = 859,780 : x
  2. Step 2: Convert to fraction form
    403,396/859,780 = 859,780/x
  3. Step 3: Cross multiply
    403,396x = 859,780 × 859,780
  4. Step 4: Simplify right side
    403,396x = 739,221,648,400
  5. Step 5: Solve for x
    x = 739,221,648,400/403,396
  6. Step 6: Final answer
    x = 1,832,496.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.