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Finding the Third Proportional to 446,943 and 638,463.75

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Solution

The third proportional to 446,943 and 638,463.75 is: 912,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,943 : 638,463.75 = 638,463.75 : x
  2. Step 2: Convert to fraction form
    446,943/638,463.75 = 638,463.75/x
  3. Step 3: Cross multiply
    446,943x = 638,463.75 × 638,463.75
  4. Step 4: Simplify right side
    446,943x = 407,635,960,064.06
  5. Step 5: Solve for x
    x = 407,635,960,064.06/446,943
  6. Step 6: Final answer
    x = 912,053.57

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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.