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Finding the Third Proportional to 289,607.50 and 417,804

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Solution

The third proportional to 289,607.50 and 417,804 is: 602,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,607.50 : 417,804 = 417,804 : x
  2. Step 2: Convert to fraction form
    289,607.50/417,804 = 417,804/x
  3. Step 3: Cross multiply
    289,607.50x = 417,804 × 417,804
  4. Step 4: Simplify right side
    289,607.50x = 174,560,182,416
  5. Step 5: Solve for x
    x = 174,560,182,416/289,607.50
  6. Step 6: Final answer
    x = 602,747.45

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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.