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Finding the Third Proportional to 186,258 and 390,764

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Solution

The third proportional to 186,258 and 390,764 is: 819,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,258 : 390,764 = 390,764 : x
  2. Step 2: Convert to fraction form
    186,258/390,764 = 390,764/x
  3. Step 3: Cross multiply
    186,258x = 390,764 × 390,764
  4. Step 4: Simplify right side
    186,258x = 152,696,503,696
  5. Step 5: Solve for x
    x = 152,696,503,696/186,258
  6. Step 6: Final answer
    x = 819,811.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.