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Finding the Third Proportional to 72,551 and 153,911

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Solution

The third proportional to 72,551 and 153,911 is: 326,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,551 : 153,911 = 153,911 : x
  2. Step 2: Convert to fraction form
    72,551/153,911 = 153,911/x
  3. Step 3: Cross multiply
    72,551x = 153,911 × 153,911
  4. Step 4: Simplify right side
    72,551x = 23,688,595,921
  5. Step 5: Solve for x
    x = 23,688,595,921/72,551
  6. Step 6: Final answer
    x = 326,509.57

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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.