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Finding the Third Proportional to 57,072 and 117,776

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Solution

The third proportional to 57,072 and 117,776 is: 243,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072 : 117,776 = 117,776 : x
  2. Step 2: Convert to fraction form
    57,072/117,776 = 117,776/x
  3. Step 3: Cross multiply
    57,072x = 117,776 × 117,776
  4. Step 4: Simplify right side
    57,072x = 13,871,186,176
  5. Step 5: Solve for x
    x = 13,871,186,176/57,072
  6. Step 6: Final answer
    x = 243,047.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.