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Finding the Third Proportional to 153,090 and 324,972

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Solution

The third proportional to 153,090 and 324,972 is: 689,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,090 : 324,972 = 324,972 : x
  2. Step 2: Convert to fraction form
    153,090/324,972 = 324,972/x
  3. Step 3: Cross multiply
    153,090x = 324,972 × 324,972
  4. Step 4: Simplify right side
    153,090x = 105,606,800,784
  5. Step 5: Solve for x
    x = 105,606,800,784/153,090
  6. Step 6: Final answer
    x = 689,834.74

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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.