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Finding the Third Proportional to 145,017 and 321,138

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Solution

The third proportional to 145,017 and 321,138 is: 711,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,017 : 321,138 = 321,138 : x
  2. Step 2: Convert to fraction form
    145,017/321,138 = 321,138/x
  3. Step 3: Cross multiply
    145,017x = 321,138 × 321,138
  4. Step 4: Simplify right side
    145,017x = 103,129,615,044
  5. Step 5: Solve for x
    x = 103,129,615,044/145,017
  6. Step 6: Final answer
    x = 711,155.35

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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.