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Finding the Third Proportional to 93,428 and 142,872

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Solution

The third proportional to 93,428 and 142,872 is: 218,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,428 : 142,872 = 142,872 : x
  2. Step 2: Convert to fraction form
    93,428/142,872 = 142,872/x
  3. Step 3: Cross multiply
    93,428x = 142,872 × 142,872
  4. Step 4: Simplify right side
    93,428x = 20,412,408,384
  5. Step 5: Solve for x
    x = 20,412,408,384/93,428
  6. Step 6: Final answer
    x = 218,482.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.