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Finding the Third Proportional to 440,433 and 680,557.50

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Solution

The third proportional to 440,433 and 680,557.50 is: 1,051,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,433 : 680,557.50 = 680,557.50 : x
  2. Step 2: Convert to fraction form
    440,433/680,557.50 = 680,557.50/x
  3. Step 3: Cross multiply
    440,433x = 680,557.50 × 680,557.50
  4. Step 4: Simplify right side
    440,433x = 463,158,510,806.25
  5. Step 5: Solve for x
    x = 463,158,510,806.25/440,433
  6. Step 6: Final answer
    x = 1,051,598.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.