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Finding the Third Proportional to 145,656 and 199,340

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Solution

The third proportional to 145,656 and 199,340 is: 272,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656 : 199,340 = 199,340 : x
  2. Step 2: Convert to fraction form
    145,656/199,340 = 199,340/x
  3. Step 3: Cross multiply
    145,656x = 199,340 × 199,340
  4. Step 4: Simplify right side
    145,656x = 39,736,435,600
  5. Step 5: Solve for x
    x = 39,736,435,600/145,656
  6. Step 6: Final answer
    x = 272,810.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.