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Finding the Third Proportional to 66,925 and 145,513

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Solution

The third proportional to 66,925 and 145,513 is: 316,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,925 : 145,513 = 145,513 : x
  2. Step 2: Convert to fraction form
    66,925/145,513 = 145,513/x
  3. Step 3: Cross multiply
    66,925x = 145,513 × 145,513
  4. Step 4: Simplify right side
    66,925x = 21,174,033,169
  5. Step 5: Solve for x
    x = 21,174,033,169/66,925
  6. Step 6: Final answer
    x = 316,384.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.