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Finding the Third Proportional to 290,023 and 448,187

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Solution

The third proportional to 290,023 and 448,187 is: 692,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,023 : 448,187 = 448,187 : x
  2. Step 2: Convert to fraction form
    290,023/448,187 = 448,187/x
  3. Step 3: Cross multiply
    290,023x = 448,187 × 448,187
  4. Step 4: Simplify right side
    290,023x = 200,871,586,969
  5. Step 5: Solve for x
    x = 200,871,586,969/290,023
  6. Step 6: Final answer
    x = 692,605.71

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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.