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Finding the Third Proportional to 313,152 and 698,018

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Solution

The third proportional to 313,152 and 698,018 is: 1,555,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,152 : 698,018 = 698,018 : x
  2. Step 2: Convert to fraction form
    313,152/698,018 = 698,018/x
  3. Step 3: Cross multiply
    313,152x = 698,018 × 698,018
  4. Step 4: Simplify right side
    313,152x = 487,229,128,324
  5. Step 5: Solve for x
    x = 487,229,128,324/313,152
  6. Step 6: Final answer
    x = 1,555,887.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.