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Finding the Third Proportional to 172,458,139 and 378,304,525

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Solution

The third proportional to 172,458,139 and 378,304,525 is: 829,849,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,458,139 : 378,304,525 = 378,304,525 : x
  2. Step 2: Convert to fraction form
    172,458,139/378,304,525 = 378,304,525/x
  3. Step 3: Cross multiply
    172,458,139x = 378,304,525 × 378,304,525
  4. Step 4: Simplify right side
    172,458,139x = 143,114,313,635,475,632
  5. Step 5: Solve for x
    x = 143,114,313,635,475,632/172,458,139
  6. Step 6: Final answer
    x = 829,849,576.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.