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Finding the Third Proportional to 689,631 and 1,076,362.50

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Solution

The third proportional to 689,631 and 1,076,362.50 is: 1,679,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,631 : 1,076,362.50 = 1,076,362.50 : x
  2. Step 2: Convert to fraction form
    689,631/1,076,362.50 = 1,076,362.50/x
  3. Step 3: Cross multiply
    689,631x = 1,076,362.50 × 1,076,362.50
  4. Step 4: Simplify right side
    689,631x = 1,158,556,231,406.25
  5. Step 5: Solve for x
    x = 1,158,556,231,406.25/689,631
  6. Step 6: Final answer
    x = 1,679,965.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.