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Finding the Third Proportional to 289,307 and 630,022

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Solution

The third proportional to 289,307 and 630,022 is: 1,371,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,307 : 630,022 = 630,022 : x
  2. Step 2: Convert to fraction form
    289,307/630,022 = 630,022/x
  3. Step 3: Cross multiply
    289,307x = 630,022 × 630,022
  4. Step 4: Simplify right side
    289,307x = 396,927,720,484
  5. Step 5: Solve for x
    x = 396,927,720,484/289,307
  6. Step 6: Final answer
    x = 1,371,994.87

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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.