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Finding the Third Proportional to 242,458 and 326,143

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Solution

The third proportional to 242,458 and 326,143 is: 438,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,458 : 326,143 = 326,143 : x
  2. Step 2: Convert to fraction form
    242,458/326,143 = 326,143/x
  3. Step 3: Cross multiply
    242,458x = 326,143 × 326,143
  4. Step 4: Simplify right side
    242,458x = 106,369,256,449
  5. Step 5: Solve for x
    x = 106,369,256,449/242,458
  6. Step 6: Final answer
    x = 438,712.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.