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Finding the Third Proportional to 321,612.19 and 422,913.66

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Solution

The third proportional to 321,612.19 and 422,913.66 is: 556,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,612.19 : 422,913.66 = 422,913.66 : x
  2. Step 2: Convert to fraction form
    321,612.19/422,913.66 = 422,913.66/x
  3. Step 3: Cross multiply
    321,612.19x = 422,913.66 × 422,913.66
  4. Step 4: Simplify right side
    321,612.19x = 178,855,960,642.74
  5. Step 5: Solve for x
    x = 178,855,960,642.74/321,612.19
  6. Step 6: Final answer
    x = 556,123.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.