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Finding the Third Proportional to 230,346 and 355,359

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Solution

The third proportional to 230,346 and 355,359 is: 548,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,346 : 355,359 = 355,359 : x
  2. Step 2: Convert to fraction form
    230,346/355,359 = 355,359/x
  3. Step 3: Cross multiply
    230,346x = 355,359 × 355,359
  4. Step 4: Simplify right side
    230,346x = 126,280,018,881
  5. Step 5: Solve for x
    x = 126,280,018,881/230,346
  6. Step 6: Final answer
    x = 548,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.