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Finding the Third Proportional to 356,313 and 742,109

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Solution

The third proportional to 356,313 and 742,109 is: 1,545,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,313 : 742,109 = 742,109 : x
  2. Step 2: Convert to fraction form
    356,313/742,109 = 742,109/x
  3. Step 3: Cross multiply
    356,313x = 742,109 × 742,109
  4. Step 4: Simplify right side
    356,313x = 550,725,767,881
  5. Step 5: Solve for x
    x = 550,725,767,881/356,313
  6. Step 6: Final answer
    x = 1,545,623.56

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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.