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Finding the Third Proportional to 210,318 and 458,697

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Solution

The third proportional to 210,318 and 458,697 is: 1,000,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,318 : 458,697 = 458,697 : x
  2. Step 2: Convert to fraction form
    210,318/458,697 = 458,697/x
  3. Step 3: Cross multiply
    210,318x = 458,697 × 458,697
  4. Step 4: Simplify right side
    210,318x = 210,402,937,809
  5. Step 5: Solve for x
    x = 210,402,937,809/210,318
  6. Step 6: Final answer
    x = 1,000,403.85

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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.