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Finding the Third Proportional to 318,133.50 and 658,411.50

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Solution

The third proportional to 318,133.50 and 658,411.50 is: 1,362,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,133.50 : 658,411.50 = 658,411.50 : x
  2. Step 2: Convert to fraction form
    318,133.50/658,411.50 = 658,411.50/x
  3. Step 3: Cross multiply
    318,133.50x = 658,411.50 × 658,411.50
  4. Step 4: Simplify right side
    318,133.50x = 433,505,703,332.25
  5. Step 5: Solve for x
    x = 433,505,703,332.25/318,133.50
  6. Step 6: Final answer
    x = 1,362,653.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.