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Finding the Third Proportional to 631,319 and 947,707

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Solution

The third proportional to 631,319 and 947,707 is: 1,422,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,319 : 947,707 = 947,707 : x
  2. Step 2: Convert to fraction form
    631,319/947,707 = 947,707/x
  3. Step 3: Cross multiply
    631,319x = 947,707 × 947,707
  4. Step 4: Simplify right side
    631,319x = 898,148,557,849
  5. Step 5: Solve for x
    x = 898,148,557,849/631,319
  6. Step 6: Final answer
    x = 1,422,654.09

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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.