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Finding the Third Proportional to 543,902 and 783,381

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Solution

The third proportional to 543,902 and 783,381 is: 1,128,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,902 : 783,381 = 783,381 : x
  2. Step 2: Convert to fraction form
    543,902/783,381 = 783,381/x
  3. Step 3: Cross multiply
    543,902x = 783,381 × 783,381
  4. Step 4: Simplify right side
    543,902x = 613,685,791,161
  5. Step 5: Solve for x
    x = 613,685,791,161/543,902
  6. Step 6: Final answer
    x = 1,128,302.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.