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Finding the Third Proportional to 378,423 and 630,681.75

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Solution

The third proportional to 378,423 and 630,681.75 is: 1,051,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423 : 630,681.75 = 630,681.75 : x
  2. Step 2: Convert to fraction form
    378,423/630,681.75 = 630,681.75/x
  3. Step 3: Cross multiply
    378,423x = 630,681.75 × 630,681.75
  4. Step 4: Simplify right side
    378,423x = 397,759,469,783.06
  5. Step 5: Solve for x
    x = 397,759,469,783.06/378,423
  6. Step 6: Final answer
    x = 1,051,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.