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Finding the Third Proportional to 144,477 and 310,459.50

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Solution

The third proportional to 144,477 and 310,459.50 is: 667,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,477 : 310,459.50 = 310,459.50 : x
  2. Step 2: Convert to fraction form
    144,477/310,459.50 = 310,459.50/x
  3. Step 3: Cross multiply
    144,477x = 310,459.50 × 310,459.50
  4. Step 4: Simplify right side
    144,477x = 96,385,101,140.25
  5. Step 5: Solve for x
    x = 96,385,101,140.25/144,477
  6. Step 6: Final answer
    x = 667,131.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.