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Finding the Third Proportional to 289,984 and 614,784

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Solution

The third proportional to 289,984 and 614,784 is: 1,303,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,984 : 614,784 = 614,784 : x
  2. Step 2: Convert to fraction form
    289,984/614,784 = 614,784/x
  3. Step 3: Cross multiply
    289,984x = 614,784 × 614,784
  4. Step 4: Simplify right side
    289,984x = 377,959,366,656
  5. Step 5: Solve for x
    x = 377,959,366,656/289,984
  6. Step 6: Final answer
    x = 1,303,380.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.