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Finding the Third Proportional to 316,977 and 465,762

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Solution

The third proportional to 316,977 and 465,762 is: 684,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,977 : 465,762 = 465,762 : x
  2. Step 2: Convert to fraction form
    316,977/465,762 = 465,762/x
  3. Step 3: Cross multiply
    316,977x = 465,762 × 465,762
  4. Step 4: Simplify right side
    316,977x = 216,934,240,644
  5. Step 5: Solve for x
    x = 216,934,240,644/316,977
  6. Step 6: Final answer
    x = 684,384.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.