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Finding the Third Proportional to 147,440.25 and 315,913.50

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Solution

The third proportional to 147,440.25 and 315,913.50 is: 676,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,440.25 : 315,913.50 = 315,913.50 : x
  2. Step 2: Convert to fraction form
    147,440.25/315,913.50 = 315,913.50/x
  3. Step 3: Cross multiply
    147,440.25x = 315,913.50 × 315,913.50
  4. Step 4: Simplify right side
    147,440.25x = 99,801,339,482.25
  5. Step 5: Solve for x
    x = 99,801,339,482.25/147,440.25
  6. Step 6: Final answer
    x = 676,893.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.