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Finding the Third Proportional to 345,777 and 708,685.50

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Solution

The third proportional to 345,777 and 708,685.50 is: 1,452,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,777 : 708,685.50 = 708,685.50 : x
  2. Step 2: Convert to fraction form
    345,777/708,685.50 = 708,685.50/x
  3. Step 3: Cross multiply
    345,777x = 708,685.50 × 708,685.50
  4. Step 4: Simplify right side
    345,777x = 502,235,137,910.25
  5. Step 5: Solve for x
    x = 502,235,137,910.25/345,777
  6. Step 6: Final answer
    x = 1,452,482.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.