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Finding the Third Proportional to 28,871 and 45,129.50

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Solution

The third proportional to 28,871 and 45,129.50 is: 70,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,871 : 45,129.50 = 45,129.50 : x
  2. Step 2: Convert to fraction form
    28,871/45,129.50 = 45,129.50/x
  3. Step 3: Cross multiply
    28,871x = 45,129.50 × 45,129.50
  4. Step 4: Simplify right side
    28,871x = 2,036,671,770.25
  5. Step 5: Solve for x
    x = 2,036,671,770.25/28,871
  6. Step 6: Final answer
    x = 70,543.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.