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Finding the Third Proportional to 13,487,921 and 20,232,313

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Solution

The third proportional to 13,487,921 and 20,232,313 is: 30,349,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487,921 : 20,232,313 = 20,232,313 : x
  2. Step 2: Convert to fraction form
    13,487,921/20,232,313 = 20,232,313/x
  3. Step 3: Cross multiply
    13,487,921x = 20,232,313 × 20,232,313
  4. Step 4: Simplify right side
    13,487,921x = 409,346,489,329,969
  5. Step 5: Solve for x
    x = 409,346,489,329,969/13,487,921
  6. Step 6: Final answer
    x = 30,349,116.76

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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.