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Finding the Third Proportional to 21,000,971 and 31,502,019

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Solution

The third proportional to 21,000,971 and 31,502,019 is: 47,253,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000,971 : 31,502,019 = 31,502,019 : x
  2. Step 2: Convert to fraction form
    21,000,971/31,502,019 = 31,502,019/x
  3. Step 3: Cross multiply
    21,000,971x = 31,502,019 × 31,502,019
  4. Step 4: Simplify right side
    21,000,971x = 992,377,201,076,361
  5. Step 5: Solve for x
    x = 992,377,201,076,361/21,000,971
  6. Step 6: Final answer
    x = 47,253,872.27

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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.