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Finding the Third Proportional to 295,235 and 458,405

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Solution

The third proportional to 295,235 and 458,405 is: 711,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,235 : 458,405 = 458,405 : x
  2. Step 2: Convert to fraction form
    295,235/458,405 = 458,405/x
  3. Step 3: Cross multiply
    295,235x = 458,405 × 458,405
  4. Step 4: Simplify right side
    295,235x = 210,135,144,025
  5. Step 5: Solve for x
    x = 210,135,144,025/295,235
  6. Step 6: Final answer
    x = 711,755.53

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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.