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Finding the Third Proportional to 52,425 and 78,673.50

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Solution

The third proportional to 52,425 and 78,673.50 is: 118,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,425 : 78,673.50 = 78,673.50 : x
  2. Step 2: Convert to fraction form
    52,425/78,673.50 = 78,673.50/x
  3. Step 3: Cross multiply
    52,425x = 78,673.50 × 78,673.50
  4. Step 4: Simplify right side
    52,425x = 6,189,519,602.25
  5. Step 5: Solve for x
    x = 6,189,519,602.25/52,425
  6. Step 6: Final answer
    x = 118,064.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.