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Finding the Third Proportional to 123,547 and 257,816

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Solution

The third proportional to 123,547 and 257,816 is: 538,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547 : 257,816 = 257,816 : x
  2. Step 2: Convert to fraction form
    123,547/257,816 = 257,816/x
  3. Step 3: Cross multiply
    123,547x = 257,816 × 257,816
  4. Step 4: Simplify right side
    123,547x = 66,469,089,856
  5. Step 5: Solve for x
    x = 66,469,089,856/123,547
  6. Step 6: Final answer
    x = 538,006.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.