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Finding the Third Proportional to 2,167,209.50 and 3,187,971

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Solution

The third proportional to 2,167,209.50 and 3,187,971 is: 4,689,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167,209.50 : 3,187,971 = 3,187,971 : x
  2. Step 2: Convert to fraction form
    2,167,209.50/3,187,971 = 3,187,971/x
  3. Step 3: Cross multiply
    2,167,209.50x = 3,187,971 × 3,187,971
  4. Step 4: Simplify right side
    2,167,209.50x = 10,163,159,096,841
  5. Step 5: Solve for x
    x = 10,163,159,096,841/2,167,209.50
  6. Step 6: Final answer
    x = 4,689,513.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.