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Finding the Third Proportional to 297,070.50 and 618,619.50

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Solution

The third proportional to 297,070.50 and 618,619.50 is: 1,288,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,070.50 : 618,619.50 = 618,619.50 : x
  2. Step 2: Convert to fraction form
    297,070.50/618,619.50 = 618,619.50/x
  3. Step 3: Cross multiply
    297,070.50x = 618,619.50 × 618,619.50
  4. Step 4: Simplify right side
    297,070.50x = 382,690,085,780.25
  5. Step 5: Solve for x
    x = 382,690,085,780.25/297,070.50
  6. Step 6: Final answer
    x = 1,288,213.02

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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.