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Finding the Third Proportional to 314,964 and 680,472

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Solution

The third proportional to 314,964 and 680,472 is: 1,470,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,964 : 680,472 = 680,472 : x
  2. Step 2: Convert to fraction form
    314,964/680,472 = 680,472/x
  3. Step 3: Cross multiply
    314,964x = 680,472 × 680,472
  4. Step 4: Simplify right side
    314,964x = 463,042,142,784
  5. Step 5: Solve for x
    x = 463,042,142,784/314,964
  6. Step 6: Final answer
    x = 1,470,143.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.