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Finding the Third Proportional to 30,616 and 70,565

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Solution

The third proportional to 30,616 and 70,565 is: 162,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616 : 70,565 = 70,565 : x
  2. Step 2: Convert to fraction form
    30,616/70,565 = 70,565/x
  3. Step 3: Cross multiply
    30,616x = 70,565 × 70,565
  4. Step 4: Simplify right side
    30,616x = 4,979,419,225
  5. Step 5: Solve for x
    x = 4,979,419,225/30,616
  6. Step 6: Final answer
    x = 162,641.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.