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Finding the Third Proportional to 287,970.75 and 387,670.50

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Solution

The third proportional to 287,970.75 and 387,670.50 is: 521,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,970.75 : 387,670.50 = 387,670.50 : x
  2. Step 2: Convert to fraction form
    287,970.75/387,670.50 = 387,670.50/x
  3. Step 3: Cross multiply
    287,970.75x = 387,670.50 × 387,670.50
  4. Step 4: Simplify right side
    287,970.75x = 150,288,416,570.25
  5. Step 5: Solve for x
    x = 150,288,416,570.25/287,970.75
  6. Step 6: Final answer
    x = 521,887.78

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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.