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Finding the Third Proportional to 12,913,398 and 19,301,085

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Solution

The third proportional to 12,913,398 and 19,301,085 is: 28,848,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913,398 : 19,301,085 = 19,301,085 : x
  2. Step 2: Convert to fraction form
    12,913,398/19,301,085 = 19,301,085/x
  3. Step 3: Cross multiply
    12,913,398x = 19,301,085 × 19,301,085
  4. Step 4: Simplify right side
    12,913,398x = 372,531,882,177,225
  5. Step 5: Solve for x
    x = 372,531,882,177,225/12,913,398
  6. Step 6: Final answer
    x = 28,848,478.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.