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Finding the Third Proportional to 307,881 and 499,000.50

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Solution

The third proportional to 307,881 and 499,000.50 is: 808,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,881 : 499,000.50 = 499,000.50 : x
  2. Step 2: Convert to fraction form
    307,881/499,000.50 = 499,000.50/x
  3. Step 3: Cross multiply
    307,881x = 499,000.50 × 499,000.50
  4. Step 4: Simplify right side
    307,881x = 249,001,499,000.25
  5. Step 5: Solve for x
    x = 249,001,499,000.25/307,881
  6. Step 6: Final answer
    x = 808,758.90

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.