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Finding the Third Proportional to 315,762 and 682,070

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Solution

The third proportional to 315,762 and 682,070 is: 1,473,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,762 : 682,070 = 682,070 : x
  2. Step 2: Convert to fraction form
    315,762/682,070 = 682,070/x
  3. Step 3: Cross multiply
    315,762x = 682,070 × 682,070
  4. Step 4: Simplify right side
    315,762x = 465,219,484,900
  5. Step 5: Solve for x
    x = 465,219,484,900/315,762
  6. Step 6: Final answer
    x = 1,473,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.