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Finding the Third Proportional to 543,546 and 1,152,864

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Solution

The third proportional to 543,546 and 1,152,864 is: 2,445,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,546 : 1,152,864 = 1,152,864 : x
  2. Step 2: Convert to fraction form
    543,546/1,152,864 = 1,152,864/x
  3. Step 3: Cross multiply
    543,546x = 1,152,864 × 1,152,864
  4. Step 4: Simplify right side
    543,546x = 1,329,095,402,496
  5. Step 5: Solve for x
    x = 1,329,095,402,496/543,546
  6. Step 6: Final answer
    x = 2,445,230.77

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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.