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Finding the Third Proportional to 356,820.75 and 521,833.50

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Solution

The third proportional to 356,820.75 and 521,833.50 is: 763,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,820.75 : 521,833.50 = 521,833.50 : x
  2. Step 2: Convert to fraction form
    356,820.75/521,833.50 = 521,833.50/x
  3. Step 3: Cross multiply
    356,820.75x = 521,833.50 × 521,833.50
  4. Step 4: Simplify right side
    356,820.75x = 272,310,201,722.25
  5. Step 5: Solve for x
    x = 272,310,201,722.25/356,820.75
  6. Step 6: Final answer
    x = 763,156.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.