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Finding the Third Proportional to 637,237.13 and 680,908.78

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Solution

The third proportional to 637,237.13 and 680,908.78 is: 727,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,237.13 : 680,908.78 = 680,908.78 : x
  2. Step 2: Convert to fraction form
    637,237.13/680,908.78 = 680,908.78/x
  3. Step 3: Cross multiply
    637,237.13x = 680,908.78 × 680,908.78
  4. Step 4: Simplify right side
    637,237.13x = 463,636,768,383.36
  5. Step 5: Solve for x
    x = 463,636,768,383.36/637,237.13
  6. Step 6: Final answer
    x = 727,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.