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Finding the Third Proportional to 145,476 and 219,510

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Solution

The third proportional to 145,476 and 219,510 is: 331,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,476 : 219,510 = 219,510 : x
  2. Step 2: Convert to fraction form
    145,476/219,510 = 219,510/x
  3. Step 3: Cross multiply
    145,476x = 219,510 × 219,510
  4. Step 4: Simplify right side
    145,476x = 48,184,640,100
  5. Step 5: Solve for x
    x = 48,184,640,100/145,476
  6. Step 6: Final answer
    x = 331,220.55

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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.