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Finding the Third Proportional to 39,840 and 83,776

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Solution

The third proportional to 39,840 and 83,776 is: 176,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,840 : 83,776 = 83,776 : x
  2. Step 2: Convert to fraction form
    39,840/83,776 = 83,776/x
  3. Step 3: Cross multiply
    39,840x = 83,776 × 83,776
  4. Step 4: Simplify right side
    39,840x = 7,018,418,176
  5. Step 5: Solve for x
    x = 7,018,418,176/39,840
  6. Step 6: Final answer
    x = 176,165.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.