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Finding the Third Proportional to 476,040 and 687,852

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Solution

The third proportional to 476,040 and 687,852 is: 993,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,040 : 687,852 = 687,852 : x
  2. Step 2: Convert to fraction form
    476,040/687,852 = 687,852/x
  3. Step 3: Cross multiply
    476,040x = 687,852 × 687,852
  4. Step 4: Simplify right side
    476,040x = 473,140,373,904
  5. Step 5: Solve for x
    x = 473,140,373,904/476,040
  6. Step 6: Final answer
    x = 993,908.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.