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Finding the Third Proportional to 215,740,276 and 475,455,290

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Solution

The third proportional to 215,740,276 and 475,455,290 is: 1,047,823,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,740,276 : 475,455,290 = 475,455,290 : x
  2. Step 2: Convert to fraction form
    215,740,276/475,455,290 = 475,455,290/x
  3. Step 3: Cross multiply
    215,740,276x = 475,455,290 × 475,455,290
  4. Step 4: Simplify right side
    215,740,276x = 226,057,732,788,984,096
  5. Step 5: Solve for x
    x = 226,057,732,788,984,096/215,740,276
  6. Step 6: Final answer
    x = 1,047,823,507.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.