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Finding the Third Proportional to 36,506 and 78,465

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Solution

The third proportional to 36,506 and 78,465 is: 168,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 78,465 = 78,465 : x
  2. Step 2: Convert to fraction form
    36,506/78,465 = 78,465/x
  3. Step 3: Cross multiply
    36,506x = 78,465 × 78,465
  4. Step 4: Simplify right side
    36,506x = 6,156,756,225
  5. Step 5: Solve for x
    x = 6,156,756,225/36,506
  6. Step 6: Final answer
    x = 168,650.53

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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.