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Finding the Third Proportional to 153,143 and 324,470

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Solution

The third proportional to 153,143 and 324,470 is: 687,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,143 : 324,470 = 324,470 : x
  2. Step 2: Convert to fraction form
    153,143/324,470 = 324,470/x
  3. Step 3: Cross multiply
    153,143x = 324,470 × 324,470
  4. Step 4: Simplify right side
    153,143x = 105,280,780,900
  5. Step 5: Solve for x
    x = 105,280,780,900/153,143
  6. Step 6: Final answer
    x = 687,467.14

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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.