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Finding the Third Proportional to 151,436.81 and 318,569.63

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Solution

The third proportional to 151,436.81 and 318,569.63 is: 670,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436.81 : 318,569.63 = 318,569.63 : x
  2. Step 2: Convert to fraction form
    151,436.81/318,569.63 = 318,569.63/x
  3. Step 3: Cross multiply
    151,436.81x = 318,569.63 × 318,569.63
  4. Step 4: Simplify right side
    151,436.81x = 101,486,605,972.64
  5. Step 5: Solve for x
    x = 101,486,605,972.64/151,436.81
  6. Step 6: Final answer
    x = 670,158.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.