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Finding the Third Proportional to 72,745 and 156,557

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Solution

The third proportional to 72,745 and 156,557 is: 336,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,745 : 156,557 = 156,557 : x
  2. Step 2: Convert to fraction form
    72,745/156,557 = 156,557/x
  3. Step 3: Cross multiply
    72,745x = 156,557 × 156,557
  4. Step 4: Simplify right side
    72,745x = 24,510,094,249
  5. Step 5: Solve for x
    x = 24,510,094,249/72,745
  6. Step 6: Final answer
    x = 336,931.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.