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Finding the Third Proportional to 121,547 and 183,997

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Solution

The third proportional to 121,547 and 183,997 is: 278,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,547 : 183,997 = 183,997 : x
  2. Step 2: Convert to fraction form
    121,547/183,997 = 183,997/x
  3. Step 3: Cross multiply
    121,547x = 183,997 × 183,997
  4. Step 4: Simplify right side
    121,547x = 33,854,896,009
  5. Step 5: Solve for x
    x = 33,854,896,009/121,547
  6. Step 6: Final answer
    x = 278,533.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.