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Finding the Third Proportional to 428,805 and 630,369

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Solution

The third proportional to 428,805 and 630,369 is: 926,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,805 : 630,369 = 630,369 : x
  2. Step 2: Convert to fraction form
    428,805/630,369 = 630,369/x
  3. Step 3: Cross multiply
    428,805x = 630,369 × 630,369
  4. Step 4: Simplify right side
    428,805x = 397,365,076,161
  5. Step 5: Solve for x
    x = 397,365,076,161/428,805
  6. Step 6: Final answer
    x = 926,680.14

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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.