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Finding the Third Proportional to 42,854 and 93,050

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Solution

The third proportional to 42,854 and 93,050 is: 202,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854 : 93,050 = 93,050 : x
  2. Step 2: Convert to fraction form
    42,854/93,050 = 93,050/x
  3. Step 3: Cross multiply
    42,854x = 93,050 × 93,050
  4. Step 4: Simplify right side
    42,854x = 8,658,302,500
  5. Step 5: Solve for x
    x = 8,658,302,500/42,854
  6. Step 6: Final answer
    x = 202,041.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.