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Finding the Third Proportional to 289,315 and 444,968

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Solution

The third proportional to 289,315 and 444,968 is: 684,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,315 : 444,968 = 444,968 : x
  2. Step 2: Convert to fraction form
    289,315/444,968 = 444,968/x
  3. Step 3: Cross multiply
    289,315x = 444,968 × 444,968
  4. Step 4: Simplify right side
    289,315x = 197,996,521,024
  5. Step 5: Solve for x
    x = 197,996,521,024/289,315
  6. Step 6: Final answer
    x = 684,363.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.