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Finding the Third Proportional to 145,158 and 321,420

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Solution

The third proportional to 145,158 and 321,420 is: 711,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158 : 321,420 = 321,420 : x
  2. Step 2: Convert to fraction form
    145,158/321,420 = 321,420/x
  3. Step 3: Cross multiply
    145,158x = 321,420 × 321,420
  4. Step 4: Simplify right side
    145,158x = 103,310,816,400
  5. Step 5: Solve for x
    x = 103,310,816,400/145,158
  6. Step 6: Final answer
    x = 711,712.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.