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Finding the Third Proportional to 74,516 and 145,284

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Solution

The third proportional to 74,516 and 145,284 is: 283,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,516 : 145,284 = 145,284 : x
  2. Step 2: Convert to fraction form
    74,516/145,284 = 145,284/x
  3. Step 3: Cross multiply
    74,516x = 145,284 × 145,284
  4. Step 4: Simplify right side
    74,516x = 21,107,440,656
  5. Step 5: Solve for x
    x = 21,107,440,656/74,516
  6. Step 6: Final answer
    x = 283,260.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.