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Finding the Third Proportional to 315,276 and 691,816

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Solution

The third proportional to 315,276 and 691,816 is: 1,518,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,276 : 691,816 = 691,816 : x
  2. Step 2: Convert to fraction form
    315,276/691,816 = 691,816/x
  3. Step 3: Cross multiply
    315,276x = 691,816 × 691,816
  4. Step 4: Simplify right side
    315,276x = 478,609,377,856
  5. Step 5: Solve for x
    x = 478,609,377,856/315,276
  6. Step 6: Final answer
    x = 1,518,064.74

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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.