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Finding the Third Proportional to 315,018 and 691,290

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Solution

The third proportional to 315,018 and 691,290 is: 1,516,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,018 : 691,290 = 691,290 : x
  2. Step 2: Convert to fraction form
    315,018/691,290 = 691,290/x
  3. Step 3: Cross multiply
    315,018x = 691,290 × 691,290
  4. Step 4: Simplify right side
    315,018x = 477,881,864,100
  5. Step 5: Solve for x
    x = 477,881,864,100/315,018
  6. Step 6: Final answer
    x = 1,516,998.60

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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.