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Finding the Third Proportional to 128,321 and 279,219

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Solution

The third proportional to 128,321 and 279,219 is: 607,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,321 : 279,219 = 279,219 : x
  2. Step 2: Convert to fraction form
    128,321/279,219 = 279,219/x
  3. Step 3: Cross multiply
    128,321x = 279,219 × 279,219
  4. Step 4: Simplify right side
    128,321x = 77,963,249,961
  5. Step 5: Solve for x
    x = 77,963,249,961/128,321
  6. Step 6: Final answer
    x = 607,564.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.