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Finding the Third Proportional to 417,374.50 and 623,604.50

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Solution

The third proportional to 417,374.50 and 623,604.50 is: 931,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,374.50 : 623,604.50 = 623,604.50 : x
  2. Step 2: Convert to fraction form
    417,374.50/623,604.50 = 623,604.50/x
  3. Step 3: Cross multiply
    417,374.50x = 623,604.50 × 623,604.50
  4. Step 4: Simplify right side
    417,374.50x = 388,882,572,420.25
  5. Step 5: Solve for x
    x = 388,882,572,420.25/417,374.50
  6. Step 6: Final answer
    x = 931,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.