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Finding the Third Proportional to 210,319 and 458,703

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Solution

The third proportional to 210,319 and 458,703 is: 1,000,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319 : 458,703 = 458,703 : x
  2. Step 2: Convert to fraction form
    210,319/458,703 = 458,703/x
  3. Step 3: Cross multiply
    210,319x = 458,703 × 458,703
  4. Step 4: Simplify right side
    210,319x = 210,408,442,209
  5. Step 5: Solve for x
    x = 210,408,442,209/210,319
  6. Step 6: Final answer
    x = 1,000,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.