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Finding the Third Proportional to 31,773 and 68,776

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Solution

The third proportional to 31,773 and 68,776 is: 148,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773 : 68,776 = 68,776 : x
  2. Step 2: Convert to fraction form
    31,773/68,776 = 68,776/x
  3. Step 3: Cross multiply
    31,773x = 68,776 × 68,776
  4. Step 4: Simplify right side
    31,773x = 4,730,138,176
  5. Step 5: Solve for x
    x = 4,730,138,176/31,773
  6. Step 6: Final answer
    x = 148,872.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.