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Finding the Third Proportional to 10,402,421 and 13,802,901

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Solution

The third proportional to 10,402,421 and 13,802,901 is: 18,314,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,421 : 13,802,901 = 13,802,901 : x
  2. Step 2: Convert to fraction form
    10,402,421/13,802,901 = 13,802,901/x
  3. Step 3: Cross multiply
    10,402,421x = 13,802,901 × 13,802,901
  4. Step 4: Simplify right side
    10,402,421x = 190,520,076,015,801
  5. Step 5: Solve for x
    x = 190,520,076,015,801/10,402,421
  6. Step 6: Final answer
    x = 18,314,974.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.