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Finding the Third Proportional to 129,312 and 199,440

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Solution

The third proportional to 129,312 and 199,440 is: 307,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,312 : 199,440 = 199,440 : x
  2. Step 2: Convert to fraction form
    129,312/199,440 = 199,440/x
  3. Step 3: Cross multiply
    129,312x = 199,440 × 199,440
  4. Step 4: Simplify right side
    129,312x = 39,776,313,600
  5. Step 5: Solve for x
    x = 39,776,313,600/129,312
  6. Step 6: Final answer
    x = 307,599.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.