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Finding the Third Proportional to 409,570 and 885,728

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Solution

The third proportional to 409,570 and 885,728 is: 1,915,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,570 : 885,728 = 885,728 : x
  2. Step 2: Convert to fraction form
    409,570/885,728 = 885,728/x
  3. Step 3: Cross multiply
    409,570x = 885,728 × 885,728
  4. Step 4: Simplify right side
    409,570x = 784,514,089,984
  5. Step 5: Solve for x
    x = 784,514,089,984/409,570
  6. Step 6: Final answer
    x = 1,915,457.89

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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.