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Finding the Third Proportional to 186,642 and 289,473

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Solution

The third proportional to 186,642 and 289,473 is: 448,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642 : 289,473 = 289,473 : x
  2. Step 2: Convert to fraction form
    186,642/289,473 = 289,473/x
  3. Step 3: Cross multiply
    186,642x = 289,473 × 289,473
  4. Step 4: Simplify right side
    186,642x = 83,794,617,729
  5. Step 5: Solve for x
    x = 83,794,617,729/186,642
  6. Step 6: Final answer
    x = 448,959.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.