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Finding the Third Proportional to 66,574 and 144,904

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Solution

The third proportional to 66,574 and 144,904 is: 315,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,574 : 144,904 = 144,904 : x
  2. Step 2: Convert to fraction form
    66,574/144,904 = 144,904/x
  3. Step 3: Cross multiply
    66,574x = 144,904 × 144,904
  4. Step 4: Simplify right side
    66,574x = 20,997,169,216
  5. Step 5: Solve for x
    x = 20,997,169,216/66,574
  6. Step 6: Final answer
    x = 315,395.94

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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.