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Finding the Third Proportional to 470,232 and 685,216

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Solution

The third proportional to 470,232 and 685,216 is: 998,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,232 : 685,216 = 685,216 : x
  2. Step 2: Convert to fraction form
    470,232/685,216 = 685,216/x
  3. Step 3: Cross multiply
    470,232x = 685,216 × 685,216
  4. Step 4: Simplify right side
    470,232x = 469,520,966,656
  5. Step 5: Solve for x
    x = 469,520,966,656/470,232
  6. Step 6: Final answer
    x = 998,487.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.