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Finding the Third Proportional to 317,012 and 470,280

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Solution

The third proportional to 317,012 and 470,280 is: 697,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,012 : 470,280 = 470,280 : x
  2. Step 2: Convert to fraction form
    317,012/470,280 = 470,280/x
  3. Step 3: Cross multiply
    317,012x = 470,280 × 470,280
  4. Step 4: Simplify right side
    317,012x = 221,163,278,400
  5. Step 5: Solve for x
    x = 221,163,278,400/317,012
  6. Step 6: Final answer
    x = 697,649.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.