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Finding the Third Proportional to 66,575 and 144,904

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Solution

The third proportional to 66,575 and 144,904 is: 315,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,575 : 144,904 = 144,904 : x
  2. Step 2: Convert to fraction form
    66,575/144,904 = 144,904/x
  3. Step 3: Cross multiply
    66,575x = 144,904 × 144,904
  4. Step 4: Simplify right side
    66,575x = 20,997,169,216
  5. Step 5: Solve for x
    x = 20,997,169,216/66,575
  6. Step 6: Final answer
    x = 315,391.20

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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.