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Finding the Third Proportional to 110,319 and 155,434.50

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Solution

The third proportional to 110,319 and 155,434.50 is: 219,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,319 : 155,434.50 = 155,434.50 : x
  2. Step 2: Convert to fraction form
    110,319/155,434.50 = 155,434.50/x
  3. Step 3: Cross multiply
    110,319x = 155,434.50 × 155,434.50
  4. Step 4: Simplify right side
    110,319x = 24,159,883,790.25
  5. Step 5: Solve for x
    x = 24,159,883,790.25/110,319
  6. Step 6: Final answer
    x = 219,000.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.