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Finding the Third Proportional to 13,723,428 and 20,185,974

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Solution

The third proportional to 13,723,428 and 20,185,974 is: 29,691,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723,428 : 20,185,974 = 20,185,974 : x
  2. Step 2: Convert to fraction form
    13,723,428/20,185,974 = 20,185,974/x
  3. Step 3: Cross multiply
    13,723,428x = 20,185,974 × 20,185,974
  4. Step 4: Simplify right side
    13,723,428x = 407,473,546,328,676
  5. Step 5: Solve for x
    x = 407,473,546,328,676/13,723,428
  6. Step 6: Final answer
    x = 29,691,819.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.