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Finding the Third Proportional to 286,217 and 621,598

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Solution

The third proportional to 286,217 and 621,598 is: 1,349,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,217 : 621,598 = 621,598 : x
  2. Step 2: Convert to fraction form
    286,217/621,598 = 621,598/x
  3. Step 3: Cross multiply
    286,217x = 621,598 × 621,598
  4. Step 4: Simplify right side
    286,217x = 386,384,073,604
  5. Step 5: Solve for x
    x = 386,384,073,604/286,217
  6. Step 6: Final answer
    x = 1,349,968.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.