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Finding the Third Proportional to 317,280 and 689,856

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Solution

The third proportional to 317,280 and 689,856 is: 1,499,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,280 : 689,856 = 689,856 : x
  2. Step 2: Convert to fraction form
    317,280/689,856 = 689,856/x
  3. Step 3: Cross multiply
    317,280x = 689,856 × 689,856
  4. Step 4: Simplify right side
    317,280x = 475,901,300,736
  5. Step 5: Solve for x
    x = 475,901,300,736/317,280
  6. Step 6: Final answer
    x = 1,499,941.06

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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.