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Finding the Third Proportional to 289,988 and 614,792

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Solution

The third proportional to 289,988 and 614,792 is: 1,303,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,988 : 614,792 = 614,792 : x
  2. Step 2: Convert to fraction form
    289,988/614,792 = 614,792/x
  3. Step 3: Cross multiply
    289,988x = 614,792 × 614,792
  4. Step 4: Simplify right side
    289,988x = 377,969,203,264
  5. Step 5: Solve for x
    x = 377,969,203,264/289,988
  6. Step 6: Final answer
    x = 1,303,396.01

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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.