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Finding the Third Proportional to 144,552 and 222,465

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Solution

The third proportional to 144,552 and 222,465 is: 342,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,552 : 222,465 = 222,465 : x
  2. Step 2: Convert to fraction form
    144,552/222,465 = 222,465/x
  3. Step 3: Cross multiply
    144,552x = 222,465 × 222,465
  4. Step 4: Simplify right side
    144,552x = 49,490,676,225
  5. Step 5: Solve for x
    x = 49,490,676,225/144,552
  6. Step 6: Final answer
    x = 342,372.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.