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Finding the Third Proportional to 217,128 and 344,637

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Solution

The third proportional to 217,128 and 344,637 is: 547,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,128 : 344,637 = 344,637 : x
  2. Step 2: Convert to fraction form
    217,128/344,637 = 344,637/x
  3. Step 3: Cross multiply
    217,128x = 344,637 × 344,637
  4. Step 4: Simplify right side
    217,128x = 118,774,661,769
  5. Step 5: Solve for x
    x = 118,774,661,769/217,128
  6. Step 6: Final answer
    x = 547,026.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.