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Finding the Third Proportional to 623,869 and 931,645

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Solution

The third proportional to 623,869 and 931,645 is: 1,391,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,869 : 931,645 = 931,645 : x
  2. Step 2: Convert to fraction form
    623,869/931,645 = 931,645/x
  3. Step 3: Cross multiply
    623,869x = 931,645 × 931,645
  4. Step 4: Simplify right side
    623,869x = 867,962,406,025
  5. Step 5: Solve for x
    x = 867,962,406,025/623,869
  6. Step 6: Final answer
    x = 1,391,257.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.