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Finding the Third Proportional to 428,859.75 and 630,815.25

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Solution

The third proportional to 428,859.75 and 630,815.25 is: 927,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859.75 : 630,815.25 = 630,815.25 : x
  2. Step 2: Convert to fraction form
    428,859.75/630,815.25 = 630,815.25/x
  3. Step 3: Cross multiply
    428,859.75x = 630,815.25 × 630,815.25
  4. Step 4: Simplify right side
    428,859.75x = 397,927,879,632.56
  5. Step 5: Solve for x
    x = 397,927,879,632.56/428,859.75
  6. Step 6: Final answer
    x = 927,874.16

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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.