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Finding the Third Proportional to 63,440 and 137,816

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Solution

The third proportional to 63,440 and 137,816 is: 299,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,440 : 137,816 = 137,816 : x
  2. Step 2: Convert to fraction form
    63,440/137,816 = 137,816/x
  3. Step 3: Cross multiply
    63,440x = 137,816 × 137,816
  4. Step 4: Simplify right side
    63,440x = 18,993,249,856
  5. Step 5: Solve for x
    x = 18,993,249,856/63,440
  6. Step 6: Final answer
    x = 299,389.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.