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Finding the Third Proportional to 79,248 and 172,712

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Solution

The third proportional to 79,248 and 172,712 is: 376,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,248 : 172,712 = 172,712 : x
  2. Step 2: Convert to fraction form
    79,248/172,712 = 172,712/x
  3. Step 3: Cross multiply
    79,248x = 172,712 × 172,712
  4. Step 4: Simplify right side
    79,248x = 29,829,434,944
  5. Step 5: Solve for x
    x = 29,829,434,944/79,248
  6. Step 6: Final answer
    x = 376,406.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.