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Finding the Third Proportional to 348,759 and 493,628

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Solution

The third proportional to 348,759 and 493,628 is: 698,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,759 : 493,628 = 493,628 : x
  2. Step 2: Convert to fraction form
    348,759/493,628 = 493,628/x
  3. Step 3: Cross multiply
    348,759x = 493,628 × 493,628
  4. Step 4: Simplify right side
    348,759x = 243,668,602,384
  5. Step 5: Solve for x
    x = 243,668,602,384/348,759
  6. Step 6: Final answer
    x = 698,673.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.