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Finding the Third Proportional to 403,386 and 859,764

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Solution

The third proportional to 403,386 and 859,764 is: 1,832,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,386 : 859,764 = 859,764 : x
  2. Step 2: Convert to fraction form
    403,386/859,764 = 859,764/x
  3. Step 3: Cross multiply
    403,386x = 859,764 × 859,764
  4. Step 4: Simplify right side
    403,386x = 739,194,135,696
  5. Step 5: Solve for x
    x = 739,194,135,696/403,386
  6. Step 6: Final answer
    x = 1,832,473.45

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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.