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Finding the Third Proportional to 238,000 and 323,070

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Solution

The third proportional to 238,000 and 323,070 is: 438,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,000 : 323,070 = 323,070 : x
  2. Step 2: Convert to fraction form
    238,000/323,070 = 323,070/x
  3. Step 3: Cross multiply
    238,000x = 323,070 × 323,070
  4. Step 4: Simplify right side
    238,000x = 104,374,224,900
  5. Step 5: Solve for x
    x = 104,374,224,900/238,000
  6. Step 6: Final answer
    x = 438,547.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.