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Finding the Third Proportional to 691,389 and 1,037,102

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Solution

The third proportional to 691,389 and 1,037,102 is: 1,555,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,389 : 1,037,102 = 1,037,102 : x
  2. Step 2: Convert to fraction form
    691,389/1,037,102 = 1,037,102/x
  3. Step 3: Cross multiply
    691,389x = 1,037,102 × 1,037,102
  4. Step 4: Simplify right side
    691,389x = 1,075,580,558,404
  5. Step 5: Solve for x
    x = 1,075,580,558,404/691,389
  6. Step 6: Final answer
    x = 1,555,680.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.