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Finding the Third Proportional to 415,642 and 896,144

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Solution

The third proportional to 415,642 and 896,144 is: 1,932,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,642 : 896,144 = 896,144 : x
  2. Step 2: Convert to fraction form
    415,642/896,144 = 896,144/x
  3. Step 3: Cross multiply
    415,642x = 896,144 × 896,144
  4. Step 4: Simplify right side
    415,642x = 803,074,068,736
  5. Step 5: Solve for x
    x = 803,074,068,736/415,642
  6. Step 6: Final answer
    x = 1,932,129.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.