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Finding the Third Proportional to 687,024 and 949,320

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Solution

The third proportional to 687,024 and 949,320 is: 1,311,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,024 : 949,320 = 949,320 : x
  2. Step 2: Convert to fraction form
    687,024/949,320 = 949,320/x
  3. Step 3: Cross multiply
    687,024x = 949,320 × 949,320
  4. Step 4: Simplify right side
    687,024x = 901,208,462,400
  5. Step 5: Solve for x
    x = 901,208,462,400/687,024
  6. Step 6: Final answer
    x = 1,311,756.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.