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Finding the Third Proportional to 520,423 and 1,109,553.50

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Solution

The third proportional to 520,423 and 1,109,553.50 is: 2,365,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,423 : 1,109,553.50 = 1,109,553.50 : x
  2. Step 2: Convert to fraction form
    520,423/1,109,553.50 = 1,109,553.50/x
  3. Step 3: Cross multiply
    520,423x = 1,109,553.50 × 1,109,553.50
  4. Step 4: Simplify right side
    520,423x = 1,231,108,969,362.25
  5. Step 5: Solve for x
    x = 1,231,108,969,362.25/520,423
  6. Step 6: Final answer
    x = 2,365,592.93

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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.