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Finding the Third Proportional to 42,719 and 93,484

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Solution

The third proportional to 42,719 and 93,484 is: 204,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,719 : 93,484 = 93,484 : x
  2. Step 2: Convert to fraction form
    42,719/93,484 = 93,484/x
  3. Step 3: Cross multiply
    42,719x = 93,484 × 93,484
  4. Step 4: Simplify right side
    42,719x = 8,739,258,256
  5. Step 5: Solve for x
    x = 8,739,258,256/42,719
  6. Step 6: Final answer
    x = 204,575.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.