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Finding the Third Proportional to 149,300 and 312,436

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Solution

The third proportional to 149,300 and 312,436 is: 653,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300 : 312,436 = 312,436 : x
  2. Step 2: Convert to fraction form
    149,300/312,436 = 312,436/x
  3. Step 3: Cross multiply
    149,300x = 312,436 × 312,436
  4. Step 4: Simplify right side
    149,300x = 97,616,254,096
  5. Step 5: Solve for x
    x = 97,616,254,096/149,300
  6. Step 6: Final answer
    x = 653,826.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.