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Finding the Third Proportional to 344,956 and 538,415

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Solution

The third proportional to 344,956 and 538,415 is: 840,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,956 : 538,415 = 538,415 : x
  2. Step 2: Convert to fraction form
    344,956/538,415 = 538,415/x
  3. Step 3: Cross multiply
    344,956x = 538,415 × 538,415
  4. Step 4: Simplify right side
    344,956x = 289,890,712,225
  5. Step 5: Solve for x
    x = 289,890,712,225/344,956
  6. Step 6: Final answer
    x = 840,370.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.