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Finding the Third Proportional to 540,018 and 831,195

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Solution

The third proportional to 540,018 and 831,195 is: 1,279,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,018 : 831,195 = 831,195 : x
  2. Step 2: Convert to fraction form
    540,018/831,195 = 831,195/x
  3. Step 3: Cross multiply
    540,018x = 831,195 × 831,195
  4. Step 4: Simplify right side
    540,018x = 690,885,128,025
  5. Step 5: Solve for x
    x = 690,885,128,025/540,018
  6. Step 6: Final answer
    x = 1,279,374.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.