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Finding the Third Proportional to 78,855,719.63 and 172,576,933.88

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Solution

The third proportional to 78,855,719.63 and 172,576,933.88 is: 377,687,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,855,719.63 : 172,576,933.88 = 172,576,933.88 : x
  2. Step 2: Convert to fraction form
    78,855,719.63/172,576,933.88 = 172,576,933.88/x
  3. Step 3: Cross multiply
    78,855,719.63x = 172,576,933.88 × 172,576,933.88
  4. Step 4: Simplify right side
    78,855,719.63x = 29,782,798,105,696,124
  5. Step 5: Solve for x
    x = 29,782,798,105,696,124/78,855,719.63
  6. Step 6: Final answer
    x = 377,687,227.35

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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.