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Finding the Third Proportional to 422,465.63 and 637,291.13

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Solution

The third proportional to 422,465.63 and 637,291.13 is: 961,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,465.63 : 637,291.13 = 637,291.13 : x
  2. Step 2: Convert to fraction form
    422,465.63/637,291.13 = 637,291.13/x
  3. Step 3: Cross multiply
    422,465.63x = 637,291.13 × 637,291.13
  4. Step 4: Simplify right side
    422,465.63x = 406,139,978,003.77
  5. Step 5: Solve for x
    x = 406,139,978,003.77/422,465.63
  6. Step 6: Final answer
    x = 961,356.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.