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Finding the Third Proportional to 428,798 and 630,356

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Solution

The third proportional to 428,798 and 630,356 is: 926,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,798 : 630,356 = 630,356 : x
  2. Step 2: Convert to fraction form
    428,798/630,356 = 630,356/x
  3. Step 3: Cross multiply
    428,798x = 630,356 × 630,356
  4. Step 4: Simplify right side
    428,798x = 397,348,686,736
  5. Step 5: Solve for x
    x = 397,348,686,736/428,798
  6. Step 6: Final answer
    x = 926,657.04

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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.