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Finding the Third Proportional to 140,312.25 and 306,824.63

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Solution

The third proportional to 140,312.25 and 306,824.63 is: 670,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,312.25 : 306,824.63 = 306,824.63 : x
  2. Step 2: Convert to fraction form
    140,312.25/306,824.63 = 306,824.63/x
  3. Step 3: Cross multiply
    140,312.25x = 306,824.63 × 306,824.63
  4. Step 4: Simplify right side
    140,312.25x = 94,141,350,506.39
  5. Step 5: Solve for x
    x = 94,141,350,506.39/140,312.25
  6. Step 6: Final answer
    x = 670,941.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.