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Finding the Third Proportional to 458,136 and 699,048

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Solution

The third proportional to 458,136 and 699,048 is: 1,066,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,136 : 699,048 = 699,048 : x
  2. Step 2: Convert to fraction form
    458,136/699,048 = 699,048/x
  3. Step 3: Cross multiply
    458,136x = 699,048 × 699,048
  4. Step 4: Simplify right side
    458,136x = 488,668,106,304
  5. Step 5: Solve for x
    x = 488,668,106,304/458,136
  6. Step 6: Final answer
    x = 1,066,644.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.