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Finding the Third Proportional to 145,401 and 218,829.50

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Solution

The third proportional to 145,401 and 218,829.50 is: 329,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,401 : 218,829.50 = 218,829.50 : x
  2. Step 2: Convert to fraction form
    145,401/218,829.50 = 218,829.50/x
  3. Step 3: Cross multiply
    145,401x = 218,829.50 × 218,829.50
  4. Step 4: Simplify right side
    145,401x = 47,886,350,070.25
  5. Step 5: Solve for x
    x = 47,886,350,070.25/145,401
  6. Step 6: Final answer
    x = 329,339.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.