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Finding the Third Proportional to 242,884 and 513,480

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Solution

The third proportional to 242,884 and 513,480 is: 1,085,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,884 : 513,480 = 513,480 : x
  2. Step 2: Convert to fraction form
    242,884/513,480 = 513,480/x
  3. Step 3: Cross multiply
    242,884x = 513,480 × 513,480
  4. Step 4: Simplify right side
    242,884x = 263,661,710,400
  5. Step 5: Solve for x
    x = 263,661,710,400/242,884
  6. Step 6: Final answer
    x = 1,085,545.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.