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Finding the Third Proportional to 72,570 and 102,776.50

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Solution

The third proportional to 72,570 and 102,776.50 is: 145,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570 : 102,776.50 = 102,776.50 : x
  2. Step 2: Convert to fraction form
    72,570/102,776.50 = 102,776.50/x
  3. Step 3: Cross multiply
    72,570x = 102,776.50 × 102,776.50
  4. Step 4: Simplify right side
    72,570x = 10,563,008,952.25
  5. Step 5: Solve for x
    x = 10,563,008,952.25/72,570
  6. Step 6: Final answer
    x = 145,556.14

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.