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Finding the Third Proportional to 209,803.50 and 458,035.50

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Solution

The third proportional to 209,803.50 and 458,035.50 is: 999,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.50 : 458,035.50 = 458,035.50 : x
  2. Step 2: Convert to fraction form
    209,803.50/458,035.50 = 458,035.50/x
  3. Step 3: Cross multiply
    209,803.50x = 458,035.50 × 458,035.50
  4. Step 4: Simplify right side
    209,803.50x = 209,796,519,260.25
  5. Step 5: Solve for x
    x = 209,796,519,260.25/209,803.50
  6. Step 6: Final answer
    x = 999,966.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.