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Finding the Third Proportional to 145,608 and 219,438

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Solution

The third proportional to 145,608 and 219,438 is: 330,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,608 : 219,438 = 219,438 : x
  2. Step 2: Convert to fraction form
    145,608/219,438 = 219,438/x
  3. Step 3: Cross multiply
    145,608x = 219,438 × 219,438
  4. Step 4: Simplify right side
    145,608x = 48,153,035,844
  5. Step 5: Solve for x
    x = 48,153,035,844/145,608
  6. Step 6: Final answer
    x = 330,703.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.