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Finding the Third Proportional to 316,724 and 659,656

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Solution

The third proportional to 316,724 and 659,656 is: 1,373,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,724 : 659,656 = 659,656 : x
  2. Step 2: Convert to fraction form
    316,724/659,656 = 659,656/x
  3. Step 3: Cross multiply
    316,724x = 659,656 × 659,656
  4. Step 4: Simplify right side
    316,724x = 435,146,038,336
  5. Step 5: Solve for x
    x = 435,146,038,336/316,724
  6. Step 6: Final answer
    x = 1,373,896.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.