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Finding the Third Proportional to 145,086.75 and 319,594.50

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Solution

The third proportional to 145,086.75 and 319,594.50 is: 703,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,086.75 : 319,594.50 = 319,594.50 : x
  2. Step 2: Convert to fraction form
    145,086.75/319,594.50 = 319,594.50/x
  3. Step 3: Cross multiply
    145,086.75x = 319,594.50 × 319,594.50
  4. Step 4: Simplify right side
    145,086.75x = 102,140,644,430.25
  5. Step 5: Solve for x
    x = 102,140,644,430.25/145,086.75
  6. Step 6: Final answer
    x = 703,997.05

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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.