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Finding the Third Proportional to 186,643 and 287,270

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Solution

The third proportional to 186,643 and 287,270 is: 442,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643 : 287,270 = 287,270 : x
  2. Step 2: Convert to fraction form
    186,643/287,270 = 287,270/x
  3. Step 3: Cross multiply
    186,643x = 287,270 × 287,270
  4. Step 4: Simplify right side
    186,643x = 82,524,052,900
  5. Step 5: Solve for x
    x = 82,524,052,900/186,643
  6. Step 6: Final answer
    x = 442,149.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.