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Finding the Third Proportional to 262,499 and 407,235

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Solution

The third proportional to 262,499 and 407,235 is: 631,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,499 : 407,235 = 407,235 : x
  2. Step 2: Convert to fraction form
    262,499/407,235 = 407,235/x
  3. Step 3: Cross multiply
    262,499x = 407,235 × 407,235
  4. Step 4: Simplify right side
    262,499x = 165,840,345,225
  5. Step 5: Solve for x
    x = 165,840,345,225/262,499
  6. Step 6: Final answer
    x = 631,775.15

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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.