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Finding the Third Proportional to 398,496 and 859,964

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Solution

The third proportional to 398,496 and 859,964 is: 1,855,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,496 : 859,964 = 859,964 : x
  2. Step 2: Convert to fraction form
    398,496/859,964 = 859,964/x
  3. Step 3: Cross multiply
    398,496x = 859,964 × 859,964
  4. Step 4: Simplify right side
    398,496x = 739,538,081,296
  5. Step 5: Solve for x
    x = 739,538,081,296/398,496
  6. Step 6: Final answer
    x = 1,855,823.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.