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Finding the Third Proportional to 187,072 and 290,258

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Solution

The third proportional to 187,072 and 290,258 is: 450,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,072 : 290,258 = 290,258 : x
  2. Step 2: Convert to fraction form
    187,072/290,258 = 290,258/x
  3. Step 3: Cross multiply
    187,072x = 290,258 × 290,258
  4. Step 4: Simplify right side
    187,072x = 84,249,706,564
  5. Step 5: Solve for x
    x = 84,249,706,564/187,072
  6. Step 6: Final answer
    x = 450,359.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.