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Finding the Third Proportional to 289,777.50 and 647,352

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Solution

The third proportional to 289,777.50 and 647,352 is: 1,446,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,777.50 : 647,352 = 647,352 : x
  2. Step 2: Convert to fraction form
    289,777.50/647,352 = 647,352/x
  3. Step 3: Cross multiply
    289,777.50x = 647,352 × 647,352
  4. Step 4: Simplify right side
    289,777.50x = 419,064,611,904
  5. Step 5: Solve for x
    x = 419,064,611,904/289,777.50
  6. Step 6: Final answer
    x = 1,446,159.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.