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Finding the Third Proportional to 428,857.88 and 630,812.63

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Solution

The third proportional to 428,857.88 and 630,812.63 is: 927,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,857.88 : 630,812.63 = 630,812.63 : x
  2. Step 2: Convert to fraction form
    428,857.88/630,812.63 = 630,812.63/x
  3. Step 3: Cross multiply
    428,857.88x = 630,812.63 × 630,812.63
  4. Step 4: Simplify right side
    428,857.88x = 397,924,567,859.39
  5. Step 5: Solve for x
    x = 397,924,567,859.39/428,857.88
  6. Step 6: Final answer
    x = 927,870.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.