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Finding the Third Proportional to 470,769 and 707,211

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Solution

The third proportional to 470,769 and 707,211 is: 1,062,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,769 : 707,211 = 707,211 : x
  2. Step 2: Convert to fraction form
    470,769/707,211 = 707,211/x
  3. Step 3: Cross multiply
    470,769x = 707,211 × 707,211
  4. Step 4: Simplify right side
    470,769x = 500,147,398,521
  5. Step 5: Solve for x
    x = 500,147,398,521/470,769
  6. Step 6: Final answer
    x = 1,062,405.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.