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Finding the Third Proportional to 875.79 and 1,865.10

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Solution

The third proportional to 875.79 and 1,865.10 is: 3,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.79 : 1,865.10 = 1,865.10 : x
  2. Step 2: Convert to fraction form
    875.79/1,865.10 = 1,865.10/x
  3. Step 3: Cross multiply
    875.79x = 1,865.10 × 1,865.10
  4. Step 4: Simplify right side
    875.79x = 3,478,611.47
  5. Step 5: Solve for x
    x = 3,478,611.47/875.79
  6. Step 6: Final answer
    x = 3,971.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.