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Finding the Third Proportional to 470,069 and 685,416

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Solution

The third proportional to 470,069 and 685,416 is: 999,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,069 : 685,416 = 685,416 : x
  2. Step 2: Convert to fraction form
    470,069/685,416 = 685,416/x
  3. Step 3: Cross multiply
    470,069x = 685,416 × 685,416
  4. Step 4: Simplify right side
    470,069x = 469,795,093,056
  5. Step 5: Solve for x
    x = 469,795,093,056/470,069
  6. Step 6: Final answer
    x = 999,417.30

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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.