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Finding the Third Proportional to 187,146 and 409,284

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Solution

The third proportional to 187,146 and 409,284 is: 895,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,146 : 409,284 = 409,284 : x
  2. Step 2: Convert to fraction form
    187,146/409,284 = 409,284/x
  3. Step 3: Cross multiply
    187,146x = 409,284 × 409,284
  4. Step 4: Simplify right side
    187,146x = 167,513,392,656
  5. Step 5: Solve for x
    x = 167,513,392,656/187,146
  6. Step 6: Final answer
    x = 895,094.70

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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.