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Finding the Third Proportional to 406,326 and 630,030

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Solution

The third proportional to 406,326 and 630,030 is: 976,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,326 : 630,030 = 630,030 : x
  2. Step 2: Convert to fraction form
    406,326/630,030 = 630,030/x
  3. Step 3: Cross multiply
    406,326x = 630,030 × 630,030
  4. Step 4: Simplify right side
    406,326x = 396,937,800,900
  5. Step 5: Solve for x
    x = 396,937,800,900/406,326
  6. Step 6: Final answer
    x = 976,894.91

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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.