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Finding the Third Proportional to 52,648.50 and 112,533

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Solution

The third proportional to 52,648.50 and 112,533 is: 240,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648.50 : 112,533 = 112,533 : x
  2. Step 2: Convert to fraction form
    52,648.50/112,533 = 112,533/x
  3. Step 3: Cross multiply
    52,648.50x = 112,533 × 112,533
  4. Step 4: Simplify right side
    52,648.50x = 12,663,676,089
  5. Step 5: Solve for x
    x = 12,663,676,089/52,648.50
  6. Step 6: Final answer
    x = 240,532.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.