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Finding the Third Proportional to 318,440 and 698,152

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Solution

The third proportional to 318,440 and 698,152 is: 1,530,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,440 : 698,152 = 698,152 : x
  2. Step 2: Convert to fraction form
    318,440/698,152 = 698,152/x
  3. Step 3: Cross multiply
    318,440x = 698,152 × 698,152
  4. Step 4: Simplify right side
    318,440x = 487,416,215,104
  5. Step 5: Solve for x
    x = 487,416,215,104/318,440
  6. Step 6: Final answer
    x = 1,530,637.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.