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Finding the Third Proportional to 186,307.50 and 398,859

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Solution

The third proportional to 186,307.50 and 398,859 is: 853,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,307.50 : 398,859 = 398,859 : x
  2. Step 2: Convert to fraction form
    186,307.50/398,859 = 398,859/x
  3. Step 3: Cross multiply
    186,307.50x = 398,859 × 398,859
  4. Step 4: Simplify right side
    186,307.50x = 159,088,501,881
  5. Step 5: Solve for x
    x = 159,088,501,881/186,307.50
  6. Step 6: Final answer
    x = 853,902.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.