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Finding the Third Proportional to 187,135 and 410,139

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Solution

The third proportional to 187,135 and 410,139 is: 898,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,135 : 410,139 = 410,139 : x
  2. Step 2: Convert to fraction form
    187,135/410,139 = 410,139/x
  3. Step 3: Cross multiply
    187,135x = 410,139 × 410,139
  4. Step 4: Simplify right side
    187,135x = 168,213,999,321
  5. Step 5: Solve for x
    x = 168,213,999,321/187,135
  6. Step 6: Final answer
    x = 898,891.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.