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Finding the Third Proportional to 287,965.50 and 387,661.50

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Solution

The third proportional to 287,965.50 and 387,661.50 is: 521,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,965.50 : 387,661.50 = 387,661.50 : x
  2. Step 2: Convert to fraction form
    287,965.50/387,661.50 = 387,661.50/x
  3. Step 3: Cross multiply
    287,965.50x = 387,661.50 × 387,661.50
  4. Step 4: Simplify right side
    287,965.50x = 150,281,438,582.25
  5. Step 5: Solve for x
    x = 150,281,438,582.25/287,965.50
  6. Step 6: Final answer
    x = 521,873.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.