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Finding the Third Proportional to 318,941 and 493,963.50

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Solution

The third proportional to 318,941 and 493,963.50 is: 765,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,941 : 493,963.50 = 493,963.50 : x
  2. Step 2: Convert to fraction form
    318,941/493,963.50 = 493,963.50/x
  3. Step 3: Cross multiply
    318,941x = 493,963.50 × 493,963.50
  4. Step 4: Simplify right side
    318,941x = 243,999,939,332.25
  5. Step 5: Solve for x
    x = 243,999,939,332.25/318,941
  6. Step 6: Final answer
    x = 765,031.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.