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Finding the Third Proportional to 242,929 and 513,554

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Solution

The third proportional to 242,929 and 513,554 is: 1,085,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,929 : 513,554 = 513,554 : x
  2. Step 2: Convert to fraction form
    242,929/513,554 = 513,554/x
  3. Step 3: Cross multiply
    242,929x = 513,554 × 513,554
  4. Step 4: Simplify right side
    242,929x = 263,737,710,916
  5. Step 5: Solve for x
    x = 263,737,710,916/242,929
  6. Step 6: Final answer
    x = 1,085,657.58

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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.