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Finding the Third Proportional to 131,645.25 and 289,032.47

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Solution

The third proportional to 131,645.25 and 289,032.47 is: 634,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,645.25 : 289,032.47 = 289,032.47 : x
  2. Step 2: Convert to fraction form
    131,645.25/289,032.47 = 289,032.47/x
  3. Step 3: Cross multiply
    131,645.25x = 289,032.47 × 289,032.47
  4. Step 4: Simplify right side
    131,645.25x = 83,539,767,991.72
  5. Step 5: Solve for x
    x = 83,539,767,991.72/131,645.25
  6. Step 6: Final answer
    x = 634,582.47

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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.