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Finding the Third Proportional to 406,322 and 630,024

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Solution

The third proportional to 406,322 and 630,024 is: 976,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,322 : 630,024 = 630,024 : x
  2. Step 2: Convert to fraction form
    406,322/630,024 = 630,024/x
  3. Step 3: Cross multiply
    406,322x = 630,024 × 630,024
  4. Step 4: Simplify right side
    406,322x = 396,930,240,576
  5. Step 5: Solve for x
    x = 396,930,240,576/406,322
  6. Step 6: Final answer
    x = 976,885.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.