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Finding the Third Proportional to 186,312 and 402,135

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Solution

The third proportional to 186,312 and 402,135 is: 867,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,312 : 402,135 = 402,135 : x
  2. Step 2: Convert to fraction form
    186,312/402,135 = 402,135/x
  3. Step 3: Cross multiply
    186,312x = 402,135 × 402,135
  4. Step 4: Simplify right side
    186,312x = 161,712,558,225
  5. Step 5: Solve for x
    x = 161,712,558,225/186,312
  6. Step 6: Final answer
    x = 867,966.41

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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.