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Finding the Third Proportional to 831,840 and 1,189,572

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Solution

The third proportional to 831,840 and 1,189,572 is: 1,701,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,840 : 1,189,572 = 1,189,572 : x
  2. Step 2: Convert to fraction form
    831,840/1,189,572 = 1,189,572/x
  3. Step 3: Cross multiply
    831,840x = 1,189,572 × 1,189,572
  4. Step 4: Simplify right side
    831,840x = 1,415,081,543,184
  5. Step 5: Solve for x
    x = 1,415,081,543,184/831,840
  6. Step 6: Final answer
    x = 1,701,146.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.