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Finding the Third Proportional to 208,347 and 455,898

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Solution

The third proportional to 208,347 and 455,898 is: 997,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,347 : 455,898 = 455,898 : x
  2. Step 2: Convert to fraction form
    208,347/455,898 = 455,898/x
  3. Step 3: Cross multiply
    208,347x = 455,898 × 455,898
  4. Step 4: Simplify right side
    208,347x = 207,842,986,404
  5. Step 5: Solve for x
    x = 207,842,986,404/208,347
  6. Step 6: Final answer
    x = 997,580.89

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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.