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Finding the Third Proportional to 315,416 and 700,816

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Solution

The third proportional to 315,416 and 700,816 is: 1,557,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,416 : 700,816 = 700,816 : x
  2. Step 2: Convert to fraction form
    315,416/700,816 = 700,816/x
  3. Step 3: Cross multiply
    315,416x = 700,816 × 700,816
  4. Step 4: Simplify right side
    315,416x = 491,143,065,856
  5. Step 5: Solve for x
    x = 491,143,065,856/315,416
  6. Step 6: Final answer
    x = 1,557,127.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.