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Finding the Third Proportional to 153,868 and 323,264

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Solution

The third proportional to 153,868 and 323,264 is: 679,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,868 : 323,264 = 323,264 : x
  2. Step 2: Convert to fraction form
    153,868/323,264 = 323,264/x
  3. Step 3: Cross multiply
    153,868x = 323,264 × 323,264
  4. Step 4: Simplify right side
    153,868x = 104,499,613,696
  5. Step 5: Solve for x
    x = 104,499,613,696/153,868
  6. Step 6: Final answer
    x = 679,151.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.