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Finding the Third Proportional to 35,719 and 77,785

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Solution

The third proportional to 35,719 and 77,785 is: 169,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,719 : 77,785 = 77,785 : x
  2. Step 2: Convert to fraction form
    35,719/77,785 = 77,785/x
  3. Step 3: Cross multiply
    35,719x = 77,785 × 77,785
  4. Step 4: Simplify right side
    35,719x = 6,050,506,225
  5. Step 5: Solve for x
    x = 6,050,506,225/35,719
  6. Step 6: Final answer
    x = 169,391.81

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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.