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Finding the Third Proportional to 68,643 and 148,390

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Solution

The third proportional to 68,643 and 148,390 is: 320,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643 : 148,390 = 148,390 : x
  2. Step 2: Convert to fraction form
    68,643/148,390 = 148,390/x
  3. Step 3: Cross multiply
    68,643x = 148,390 × 148,390
  4. Step 4: Simplify right side
    68,643x = 22,019,592,100
  5. Step 5: Solve for x
    x = 22,019,592,100/68,643
  6. Step 6: Final answer
    x = 320,784.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.