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Finding the Third Proportional to 431,964 and 939,320

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Solution

The third proportional to 431,964 and 939,320 is: 2,042,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,964 : 939,320 = 939,320 : x
  2. Step 2: Convert to fraction form
    431,964/939,320 = 939,320/x
  3. Step 3: Cross multiply
    431,964x = 939,320 × 939,320
  4. Step 4: Simplify right side
    431,964x = 882,322,062,400
  5. Step 5: Solve for x
    x = 882,322,062,400/431,964
  6. Step 6: Final answer
    x = 2,042,582.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.