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Finding the Third Proportional to 187,210.50 and 403,942.50

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Solution

The third proportional to 187,210.50 and 403,942.50 is: 871,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,210.50 : 403,942.50 = 403,942.50 : x
  2. Step 2: Convert to fraction form
    187,210.50/403,942.50 = 403,942.50/x
  3. Step 3: Cross multiply
    187,210.50x = 403,942.50 × 403,942.50
  4. Step 4: Simplify right side
    187,210.50x = 163,169,543,306.25
  5. Step 5: Solve for x
    x = 163,169,543,306.25/187,210.50
  6. Step 6: Final answer
    x = 871,583.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.