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Finding the Third Proportional to 180,870 and 266,076

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Solution

The third proportional to 180,870 and 266,076 is: 391,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,870 : 266,076 = 266,076 : x
  2. Step 2: Convert to fraction form
    180,870/266,076 = 266,076/x
  3. Step 3: Cross multiply
    180,870x = 266,076 × 266,076
  4. Step 4: Simplify right side
    180,870x = 70,796,437,776
  5. Step 5: Solve for x
    x = 70,796,437,776/180,870
  6. Step 6: Final answer
    x = 391,421.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.