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Finding the Third Proportional to 315,888 and 698,208

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Solution

The third proportional to 315,888 and 698,208 is: 1,543,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,888 : 698,208 = 698,208 : x
  2. Step 2: Convert to fraction form
    315,888/698,208 = 698,208/x
  3. Step 3: Cross multiply
    315,888x = 698,208 × 698,208
  4. Step 4: Simplify right side
    315,888x = 487,494,411,264
  5. Step 5: Solve for x
    x = 487,494,411,264/315,888
  6. Step 6: Final answer
    x = 1,543,250.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.