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Finding the Third Proportional to 186,310 and 402,130

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Solution

The third proportional to 186,310 and 402,130 is: 867,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,310 : 402,130 = 402,130 : x
  2. Step 2: Convert to fraction form
    186,310/402,130 = 402,130/x
  3. Step 3: Cross multiply
    186,310x = 402,130 × 402,130
  4. Step 4: Simplify right side
    186,310x = 161,708,536,900
  5. Step 5: Solve for x
    x = 161,708,536,900/186,310
  6. Step 6: Final answer
    x = 867,954.15

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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.