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Finding the Third Proportional to 153,142 and 324,468

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Solution

The third proportional to 153,142 and 324,468 is: 687,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,142 : 324,468 = 324,468 : x
  2. Step 2: Convert to fraction form
    153,142/324,468 = 324,468/x
  3. Step 3: Cross multiply
    153,142x = 324,468 × 324,468
  4. Step 4: Simplify right side
    153,142x = 105,279,483,024
  5. Step 5: Solve for x
    x = 105,279,483,024/153,142
  6. Step 6: Final answer
    x = 687,463.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.