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Finding the Third Proportional to 208,724 and 317,076

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Solution

The third proportional to 208,724 and 317,076 is: 481,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,724 : 317,076 = 317,076 : x
  2. Step 2: Convert to fraction form
    208,724/317,076 = 317,076/x
  3. Step 3: Cross multiply
    208,724x = 317,076 × 317,076
  4. Step 4: Simplify right side
    208,724x = 100,537,189,776
  5. Step 5: Solve for x
    x = 100,537,189,776/208,724
  6. Step 6: Final answer
    x = 481,675.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.