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Finding the Third Proportional to 356,328 and 742,136

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Solution

The third proportional to 356,328 and 742,136 is: 1,545,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,328 : 742,136 = 742,136 : x
  2. Step 2: Convert to fraction form
    356,328/742,136 = 742,136/x
  3. Step 3: Cross multiply
    356,328x = 742,136 × 742,136
  4. Step 4: Simplify right side
    356,328x = 550,765,842,496
  5. Step 5: Solve for x
    x = 550,765,842,496/356,328
  6. Step 6: Final answer
    x = 1,545,670.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.