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Finding the Third Proportional to 140,786 and 307,816

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Solution

The third proportional to 140,786 and 307,816 is: 673,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,786 : 307,816 = 307,816 : x
  2. Step 2: Convert to fraction form
    140,786/307,816 = 307,816/x
  3. Step 3: Cross multiply
    140,786x = 307,816 × 307,816
  4. Step 4: Simplify right side
    140,786x = 94,750,689,856
  5. Step 5: Solve for x
    x = 94,750,689,856/140,786
  6. Step 6: Final answer
    x = 673,012.16

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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.