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Finding the Third Proportional to 302,040 and 423,392

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Solution

The third proportional to 302,040 and 423,392 is: 593,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,040 : 423,392 = 423,392 : x
  2. Step 2: Convert to fraction form
    302,040/423,392 = 423,392/x
  3. Step 3: Cross multiply
    302,040x = 423,392 × 423,392
  4. Step 4: Simplify right side
    302,040x = 179,260,785,664
  5. Step 5: Solve for x
    x = 179,260,785,664/302,040
  6. Step 6: Final answer
    x = 593,500.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.