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Finding the Third Proportional to 186,720 and 403,080

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Solution

The third proportional to 186,720 and 403,080 is: 870,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,720 : 403,080 = 403,080 : x
  2. Step 2: Convert to fraction form
    186,720/403,080 = 403,080/x
  3. Step 3: Cross multiply
    186,720x = 403,080 × 403,080
  4. Step 4: Simplify right side
    186,720x = 162,473,486,400
  5. Step 5: Solve for x
    x = 162,473,486,400/186,720
  6. Step 6: Final answer
    x = 870,145.06

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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.