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Finding the Third Proportional to 311,941.13 and 638,633.11

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Solution

The third proportional to 311,941.13 and 638,633.11 is: 1,307,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.13 : 638,633.11 = 638,633.11 : x
  2. Step 2: Convert to fraction form
    311,941.13/638,633.11 = 638,633.11/x
  3. Step 3: Cross multiply
    311,941.13x = 638,633.11 × 638,633.11
  4. Step 4: Simplify right side
    311,941.13x = 407,852,248,389.98
  5. Step 5: Solve for x
    x = 407,852,248,389.98/311,941.13
  6. Step 6: Final answer
    x = 1,307,465.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.