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Finding the Third Proportional to 428,924,173 and 662,797,220

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Solution

The third proportional to 428,924,173 and 662,797,220 is: 1,024,190,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,924,173 : 662,797,220 = 662,797,220 : x
  2. Step 2: Convert to fraction form
    428,924,173/662,797,220 = 662,797,220/x
  3. Step 3: Cross multiply
    428,924,173x = 662,797,220 × 662,797,220
  4. Step 4: Simplify right side
    428,924,173x = 439,300,154,839,728,384
  5. Step 5: Solve for x
    x = 439,300,154,839,728,384/428,924,173
  6. Step 6: Final answer
    x = 1,024,190,713.63

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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.