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Finding the Third Proportional to 457,362 and 669,640.50

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Solution

The third proportional to 457,362 and 669,640.50 is: 980,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,362 : 669,640.50 = 669,640.50 : x
  2. Step 2: Convert to fraction form
    457,362/669,640.50 = 669,640.50/x
  3. Step 3: Cross multiply
    457,362x = 669,640.50 × 669,640.50
  4. Step 4: Simplify right side
    457,362x = 448,418,399,240.25
  5. Step 5: Solve for x
    x = 448,418,399,240.25/457,362
  6. Step 6: Final answer
    x = 980,445.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.