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Finding the Third Proportional to 446,455.13 and 638,182.13

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Solution

The third proportional to 446,455.13 and 638,182.13 is: 912,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,455.13 : 638,182.13 = 638,182.13 : x
  2. Step 2: Convert to fraction form
    446,455.13/638,182.13 = 638,182.13/x
  3. Step 3: Cross multiply
    446,455.13x = 638,182.13 × 638,182.13
  4. Step 4: Simplify right side
    446,455.13x = 407,276,424,669.52
  5. Step 5: Solve for x
    x = 407,276,424,669.52/446,455.13
  6. Step 6: Final answer
    x = 912,244.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.