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Finding the Third Proportional to 428,924,167.59 and 662,797,212.89

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Solution

The third proportional to 428,924,167.59 and 662,797,212.89 is: 1,024,190,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,924,167.59 : 662,797,212.89 = 662,797,212.89 : x
  2. Step 2: Convert to fraction form
    428,924,167.59/662,797,212.89 = 662,797,212.89/x
  3. Step 3: Cross multiply
    428,924,167.59x = 662,797,212.89 × 662,797,212.89
  4. Step 4: Simplify right side
    428,924,167.59x = 439,300,145,415,600,384
  5. Step 5: Solve for x
    x = 439,300,145,415,600,384/428,924,167.59
  6. Step 6: Final answer
    x = 1,024,190,704.57

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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.