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Finding the Third Proportional to 428,912 and 630,880

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Solution

The third proportional to 428,912 and 630,880 is: 927,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,912 : 630,880 = 630,880 : x
  2. Step 2: Convert to fraction form
    428,912/630,880 = 630,880/x
  3. Step 3: Cross multiply
    428,912x = 630,880 × 630,880
  4. Step 4: Simplify right side
    428,912x = 398,009,574,400
  5. Step 5: Solve for x
    x = 398,009,574,400/428,912
  6. Step 6: Final answer
    x = 927,951.59

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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.