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Finding the Third Proportional to 18,893,874 and 30,078,507

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Solution

The third proportional to 18,893,874 and 30,078,507 is: 47,884,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,893,874 : 30,078,507 = 30,078,507 : x
  2. Step 2: Convert to fraction form
    18,893,874/30,078,507 = 30,078,507/x
  3. Step 3: Cross multiply
    18,893,874x = 30,078,507 × 30,078,507
  4. Step 4: Simplify right side
    18,893,874x = 904,716,583,349,049
  5. Step 5: Solve for x
    x = 904,716,583,349,049/18,893,874
  6. Step 6: Final answer
    x = 47,884,122.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.