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Finding the Third Proportional to 428,924,171.25 and 662,797,217.25

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Solution

The third proportional to 428,924,171.25 and 662,797,217.25 is: 1,024,190,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,924,171.25 : 662,797,217.25 = 662,797,217.25 : x
  2. Step 2: Convert to fraction form
    428,924,171.25/662,797,217.25 = 662,797,217.25/x
  3. Step 3: Cross multiply
    428,924,171.25x = 662,797,217.25 × 662,797,217.25
  4. Step 4: Simplify right side
    428,924,171.25x = 439,300,151,194,343,680
  5. Step 5: Solve for x
    x = 439,300,151,194,343,680/428,924,171.25
  6. Step 6: Final answer
    x = 1,024,190,709.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.