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Finding the Third Proportional to 302,125.50 and 423,520.50

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Solution

The third proportional to 302,125.50 and 423,520.50 is: 593,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,125.50 : 423,520.50 = 423,520.50 : x
  2. Step 2: Convert to fraction form
    302,125.50/423,520.50 = 423,520.50/x
  3. Step 3: Cross multiply
    302,125.50x = 423,520.50 × 423,520.50
  4. Step 4: Simplify right side
    302,125.50x = 179,369,613,920.25
  5. Step 5: Solve for x
    x = 179,369,613,920.25/302,125.50
  6. Step 6: Final answer
    x = 593,692.40

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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.