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Finding the Third Proportional to 62,303 and 132,762.50

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Solution

The third proportional to 62,303 and 132,762.50 is: 282,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,303 : 132,762.50 = 132,762.50 : x
  2. Step 2: Convert to fraction form
    62,303/132,762.50 = 132,762.50/x
  3. Step 3: Cross multiply
    62,303x = 132,762.50 × 132,762.50
  4. Step 4: Simplify right side
    62,303x = 17,625,881,406.25
  5. Step 5: Solve for x
    x = 17,625,881,406.25/62,303
  6. Step 6: Final answer
    x = 282,905.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.