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Finding the Third Proportional to 630,173 and 945,720

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Solution

The third proportional to 630,173 and 945,720 is: 1,419,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,173 : 945,720 = 945,720 : x
  2. Step 2: Convert to fraction form
    630,173/945,720 = 945,720/x
  3. Step 3: Cross multiply
    630,173x = 945,720 × 945,720
  4. Step 4: Simplify right side
    630,173x = 894,386,318,400
  5. Step 5: Solve for x
    x = 894,386,318,400/630,173
  6. Step 6: Final answer
    x = 1,419,271.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.