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Finding the Third Proportional to 319,254.75 and 478,003.50

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Solution

The third proportional to 319,254.75 and 478,003.50 is: 715,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,254.75 : 478,003.50 = 478,003.50 : x
  2. Step 2: Convert to fraction form
    319,254.75/478,003.50 = 478,003.50/x
  3. Step 3: Cross multiply
    319,254.75x = 478,003.50 × 478,003.50
  4. Step 4: Simplify right side
    319,254.75x = 228,487,346,012.25
  5. Step 5: Solve for x
    x = 228,487,346,012.25/319,254.75
  6. Step 6: Final answer
    x = 715,689.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.