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Finding the Third Proportional to 145,420 and 308,420

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Solution

The third proportional to 145,420 and 308,420 is: 654,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,420 : 308,420 = 308,420 : x
  2. Step 2: Convert to fraction form
    145,420/308,420 = 308,420/x
  3. Step 3: Cross multiply
    145,420x = 308,420 × 308,420
  4. Step 4: Simplify right side
    145,420x = 95,122,896,400
  5. Step 5: Solve for x
    x = 95,122,896,400/145,420
  6. Step 6: Final answer
    x = 654,125.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.