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Finding the Third Proportional to 13,751,140.50 and 29,141,497.50

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Solution

The third proportional to 13,751,140.50 and 29,141,497.50 is: 61,756,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751,140.50 : 29,141,497.50 = 29,141,497.50 : x
  2. Step 2: Convert to fraction form
    13,751,140.50/29,141,497.50 = 29,141,497.50/x
  3. Step 3: Cross multiply
    13,751,140.50x = 29,141,497.50 × 29,141,497.50
  4. Step 4: Simplify right side
    13,751,140.50x = 849,226,876,542,506.25
  5. Step 5: Solve for x
    x = 849,226,876,542,506.25/13,751,140.50
  6. Step 6: Final answer
    x = 61,756,832.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.