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Finding the Third Proportional to 156,100.50 and 325,413

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Solution

The third proportional to 156,100.50 and 325,413 is: 678,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,100.50 : 325,413 = 325,413 : x
  2. Step 2: Convert to fraction form
    156,100.50/325,413 = 325,413/x
  3. Step 3: Cross multiply
    156,100.50x = 325,413 × 325,413
  4. Step 4: Simplify right side
    156,100.50x = 105,893,620,569
  5. Step 5: Solve for x
    x = 105,893,620,569/156,100.50
  6. Step 6: Final answer
    x = 678,368.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.