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Finding the Third Proportional to 159,820 and 344,549

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Solution

The third proportional to 159,820 and 344,549 is: 742,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,820 : 344,549 = 344,549 : x
  2. Step 2: Convert to fraction form
    159,820/344,549 = 344,549/x
  3. Step 3: Cross multiply
    159,820x = 344,549 × 344,549
  4. Step 4: Simplify right side
    159,820x = 118,714,013,401
  5. Step 5: Solve for x
    x = 118,714,013,401/159,820
  6. Step 6: Final answer
    x = 742,798.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.