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Finding the Third Proportional to 71,205 and 155,709

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Solution

The third proportional to 71,205 and 155,709 is: 340,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205 : 155,709 = 155,709 : x
  2. Step 2: Convert to fraction form
    71,205/155,709 = 155,709/x
  3. Step 3: Cross multiply
    71,205x = 155,709 × 155,709
  4. Step 4: Simplify right side
    71,205x = 24,245,292,681
  5. Step 5: Solve for x
    x = 24,245,292,681/71,205
  6. Step 6: Final answer
    x = 340,499.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.