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Finding the Third Proportional to 130,428.75 and 207,477.25

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Solution

The third proportional to 130,428.75 and 207,477.25 is: 330,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,428.75 : 207,477.25 = 207,477.25 : x
  2. Step 2: Convert to fraction form
    130,428.75/207,477.25 = 207,477.25/x
  3. Step 3: Cross multiply
    130,428.75x = 207,477.25 × 207,477.25
  4. Step 4: Simplify right side
    130,428.75x = 43,046,809,267.56
  5. Step 5: Solve for x
    x = 43,046,809,267.56/130,428.75
  6. Step 6: Final answer
    x = 330,040.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.