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Finding the Third Proportional to 276,402 and 580,654.50

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Solution

The third proportional to 276,402 and 580,654.50 is: 1,219,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,402 : 580,654.50 = 580,654.50 : x
  2. Step 2: Convert to fraction form
    276,402/580,654.50 = 580,654.50/x
  3. Step 3: Cross multiply
    276,402x = 580,654.50 × 580,654.50
  4. Step 4: Simplify right side
    276,402x = 337,159,648,370.25
  5. Step 5: Solve for x
    x = 337,159,648,370.25/276,402
  6. Step 6: Final answer
    x = 1,219,816.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.