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Finding the Third Proportional to 200,421 and 294,058

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Solution

The third proportional to 200,421 and 294,058 is: 431,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,421 : 294,058 = 294,058 : x
  2. Step 2: Convert to fraction form
    200,421/294,058 = 294,058/x
  3. Step 3: Cross multiply
    200,421x = 294,058 × 294,058
  4. Step 4: Simplify right side
    200,421x = 86,470,107,364
  5. Step 5: Solve for x
    x = 86,470,107,364/200,421
  6. Step 6: Final answer
    x = 431,442.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.