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Finding the Third Proportional to 305,211 and 662,962.50

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Solution

The third proportional to 305,211 and 662,962.50 is: 1,440,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211 : 662,962.50 = 662,962.50 : x
  2. Step 2: Convert to fraction form
    305,211/662,962.50 = 662,962.50/x
  3. Step 3: Cross multiply
    305,211x = 662,962.50 × 662,962.50
  4. Step 4: Simplify right side
    305,211x = 439,519,276,406.25
  5. Step 5: Solve for x
    x = 439,519,276,406.25/305,211
  6. Step 6: Final answer
    x = 1,440,050.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.