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Finding the Third Proportional to 356,136 and 554,628

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Solution

The third proportional to 356,136 and 554,628 is: 863,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,136 : 554,628 = 554,628 : x
  2. Step 2: Convert to fraction form
    356,136/554,628 = 554,628/x
  3. Step 3: Cross multiply
    356,136x = 554,628 × 554,628
  4. Step 4: Simplify right side
    356,136x = 307,612,218,384
  5. Step 5: Solve for x
    x = 307,612,218,384/356,136
  6. Step 6: Final answer
    x = 863,749.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.