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Finding the Third Proportional to 291,063.38 and 637,485.19

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Solution

The third proportional to 291,063.38 and 637,485.19 is: 1,396,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,063.38 : 637,485.19 = 637,485.19 : x
  2. Step 2: Convert to fraction form
    291,063.38/637,485.19 = 637,485.19/x
  3. Step 3: Cross multiply
    291,063.38x = 637,485.19 × 637,485.19
  4. Step 4: Simplify right side
    291,063.38x = 406,387,364,281.91
  5. Step 5: Solve for x
    x = 406,387,364,281.91/291,063.38
  6. Step 6: Final answer
    x = 1,396,216.08

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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.