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Finding the Third Proportional to 315,786 and 692,745

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Solution

The third proportional to 315,786 and 692,745 is: 1,519,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,786 : 692,745 = 692,745 : x
  2. Step 2: Convert to fraction form
    315,786/692,745 = 692,745/x
  3. Step 3: Cross multiply
    315,786x = 692,745 × 692,745
  4. Step 4: Simplify right side
    315,786x = 479,895,635,025
  5. Step 5: Solve for x
    x = 479,895,635,025/315,786
  6. Step 6: Final answer
    x = 1,519,686.23

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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.