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Finding the Third Proportional to 846,369 and 1,296,121.50

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Solution

The third proportional to 846,369 and 1,296,121.50 is: 1,984,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,369 : 1,296,121.50 = 1,296,121.50 : x
  2. Step 2: Convert to fraction form
    846,369/1,296,121.50 = 1,296,121.50/x
  3. Step 3: Cross multiply
    846,369x = 1,296,121.50 × 1,296,121.50
  4. Step 4: Simplify right side
    846,369x = 1,679,930,942,762.25
  5. Step 5: Solve for x
    x = 1,679,930,942,762.25/846,369
  6. Step 6: Final answer
    x = 1,984,868.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.