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Finding the Third Proportional to 180,642 and 397,036.50

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Solution

The third proportional to 180,642 and 397,036.50 is: 872,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,642 : 397,036.50 = 397,036.50 : x
  2. Step 2: Convert to fraction form
    180,642/397,036.50 = 397,036.50/x
  3. Step 3: Cross multiply
    180,642x = 397,036.50 × 397,036.50
  4. Step 4: Simplify right side
    180,642x = 157,637,982,332.25
  5. Step 5: Solve for x
    x = 157,637,982,332.25/180,642
  6. Step 6: Final answer
    x = 872,654.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.