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Finding the Third Proportional to 316,238 and 684,964

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Solution

The third proportional to 316,238 and 684,964 is: 1,483,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,238 : 684,964 = 684,964 : x
  2. Step 2: Convert to fraction form
    316,238/684,964 = 684,964/x
  3. Step 3: Cross multiply
    316,238x = 684,964 × 684,964
  4. Step 4: Simplify right side
    316,238x = 469,175,681,296
  5. Step 5: Solve for x
    x = 469,175,681,296/316,238
  6. Step 6: Final answer
    x = 1,483,615.76

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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.