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Finding the Third Proportional to 186,309 and 402,128

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Solution

The third proportional to 186,309 and 402,128 is: 867,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,309 : 402,128 = 402,128 : x
  2. Step 2: Convert to fraction form
    186,309/402,128 = 402,128/x
  3. Step 3: Cross multiply
    186,309x = 402,128 × 402,128
  4. Step 4: Simplify right side
    186,309x = 161,706,928,384
  5. Step 5: Solve for x
    x = 161,706,928,384/186,309
  6. Step 6: Final answer
    x = 867,950.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.