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Finding the Third Proportional to 207,353 and 423,453

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Solution

The third proportional to 207,353 and 423,453 is: 864,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,353 : 423,453 = 423,453 : x
  2. Step 2: Convert to fraction form
    207,353/423,453 = 423,453/x
  3. Step 3: Cross multiply
    207,353x = 423,453 × 423,453
  4. Step 4: Simplify right side
    207,353x = 179,312,443,209
  5. Step 5: Solve for x
    x = 179,312,443,209/207,353
  6. Step 6: Final answer
    x = 864,768.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.