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Finding the Third Proportional to 30,316 and 61,864

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Solution

The third proportional to 30,316 and 61,864 is: 126,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316 : 61,864 = 61,864 : x
  2. Step 2: Convert to fraction form
    30,316/61,864 = 61,864/x
  3. Step 3: Cross multiply
    30,316x = 61,864 × 61,864
  4. Step 4: Simplify right side
    30,316x = 3,827,154,496
  5. Step 5: Solve for x
    x = 3,827,154,496/30,316
  6. Step 6: Final answer
    x = 126,242.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.