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Finding the Third Proportional to 21,038,664 and 31,473,339

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Solution

The third proportional to 21,038,664 and 31,473,339 is: 47,083,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038,664 : 31,473,339 = 31,473,339 : x
  2. Step 2: Convert to fraction form
    21,038,664/31,473,339 = 31,473,339/x
  3. Step 3: Cross multiply
    21,038,664x = 31,473,339 × 31,473,339
  4. Step 4: Simplify right side
    21,038,664x = 990,571,067,808,921
  5. Step 5: Solve for x
    x = 990,571,067,808,921/21,038,664
  6. Step 6: Final answer
    x = 47,083,363.65

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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.