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Finding the Third Proportional to 13,592,758.50 and 20,586,559.50

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Solution

The third proportional to 13,592,758.50 and 20,586,559.50 is: 31,178,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592,758.50 : 20,586,559.50 = 20,586,559.50 : x
  2. Step 2: Convert to fraction form
    13,592,758.50/20,586,559.50 = 20,586,559.50/x
  3. Step 3: Cross multiply
    13,592,758.50x = 20,586,559.50 × 20,586,559.50
  4. Step 4: Simplify right side
    13,592,758.50x = 423,806,432,047,040.25
  5. Step 5: Solve for x
    x = 423,806,432,047,040.25/13,592,758.50
  6. Step 6: Final answer
    x = 31,178,839.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.