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Finding the Third Proportional to 188,316 and 288,486

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Solution

The third proportional to 188,316 and 288,486 is: 441,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,316 : 288,486 = 288,486 : x
  2. Step 2: Convert to fraction form
    188,316/288,486 = 288,486/x
  3. Step 3: Cross multiply
    188,316x = 288,486 × 288,486
  4. Step 4: Simplify right side
    188,316x = 83,224,172,196
  5. Step 5: Solve for x
    x = 83,224,172,196/188,316
  6. Step 6: Final answer
    x = 441,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.