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Finding the Third Proportional to 147,090 and 321,153

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Solution

The third proportional to 147,090 and 321,153 is: 701,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,090 : 321,153 = 321,153 : x
  2. Step 2: Convert to fraction form
    147,090/321,153 = 321,153/x
  3. Step 3: Cross multiply
    147,090x = 321,153 × 321,153
  4. Step 4: Simplify right side
    147,090x = 103,139,249,409
  5. Step 5: Solve for x
    x = 103,139,249,409/147,090
  6. Step 6: Final answer
    x = 701,198.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.