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Finding the Third Proportional to 353,147 and 772,315

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Solution

The third proportional to 353,147 and 772,315 is: 1,689,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,147 : 772,315 = 772,315 : x
  2. Step 2: Convert to fraction form
    353,147/772,315 = 772,315/x
  3. Step 3: Cross multiply
    353,147x = 772,315 × 772,315
  4. Step 4: Simplify right side
    353,147x = 596,470,459,225
  5. Step 5: Solve for x
    x = 596,470,459,225/353,147
  6. Step 6: Final answer
    x = 1,689,014.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.