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Finding the Third Proportional to 72,459 and 153,639

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Solution

The third proportional to 72,459 and 153,639 is: 325,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,459 : 153,639 = 153,639 : x
  2. Step 2: Convert to fraction form
    72,459/153,639 = 153,639/x
  3. Step 3: Cross multiply
    72,459x = 153,639 × 153,639
  4. Step 4: Simplify right side
    72,459x = 23,604,942,321
  5. Step 5: Solve for x
    x = 23,604,942,321/72,459
  6. Step 6: Final answer
    x = 325,769.64

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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.