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Finding the Third Proportional to 470,063 and 685,407

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Solution

The third proportional to 470,063 and 685,407 is: 999,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,063 : 685,407 = 685,407 : x
  2. Step 2: Convert to fraction form
    470,063/685,407 = 685,407/x
  3. Step 3: Cross multiply
    470,063x = 685,407 × 685,407
  4. Step 4: Simplify right side
    470,063x = 469,782,755,649
  5. Step 5: Solve for x
    x = 469,782,755,649/470,063
  6. Step 6: Final answer
    x = 999,403.82

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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.