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Finding the Third Proportional to 289,792 and 614,468

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Solution

The third proportional to 289,792 and 614,468 is: 1,302,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792 : 614,468 = 614,468 : x
  2. Step 2: Convert to fraction form
    289,792/614,468 = 614,468/x
  3. Step 3: Cross multiply
    289,792x = 614,468 × 614,468
  4. Step 4: Simplify right side
    289,792x = 377,570,923,024
  5. Step 5: Solve for x
    x = 377,570,923,024/289,792
  6. Step 6: Final answer
    x = 1,302,903.20

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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.