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Finding the Third Proportional to 354,678.75 and 545,170.50

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Solution

The third proportional to 354,678.75 and 545,170.50 is: 837,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,678.75 : 545,170.50 = 545,170.50 : x
  2. Step 2: Convert to fraction form
    354,678.75/545,170.50 = 545,170.50/x
  3. Step 3: Cross multiply
    354,678.75x = 545,170.50 × 545,170.50
  4. Step 4: Simplify right side
    354,678.75x = 297,210,874,070.25
  5. Step 5: Solve for x
    x = 297,210,874,070.25/354,678.75
  6. Step 6: Final answer
    x = 837,972.04

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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.