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Finding the Third Proportional to 12,159,045 and 18,974,695.50

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Solution

The third proportional to 12,159,045 and 18,974,695.50 is: 29,610,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159,045 : 18,974,695.50 = 18,974,695.50 : x
  2. Step 2: Convert to fraction form
    12,159,045/18,974,695.50 = 18,974,695.50/x
  3. Step 3: Cross multiply
    12,159,045x = 18,974,695.50 × 18,974,695.50
  4. Step 4: Simplify right side
    12,159,045x = 360,039,069,317,720.25
  5. Step 5: Solve for x
    x = 360,039,069,317,720.25/12,159,045
  6. Step 6: Final answer
    x = 29,610,801.61

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Why These Related Problems?

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