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Finding the Third Proportional to 21,033,772 and 31,466,599

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Solution

The third proportional to 21,033,772 and 31,466,599 is: 47,074,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033,772 : 31,466,599 = 31,466,599 : x
  2. Step 2: Convert to fraction form
    21,033,772/31,466,599 = 31,466,599/x
  3. Step 3: Cross multiply
    21,033,772x = 31,466,599 × 31,466,599
  4. Step 4: Simplify right side
    21,033,772x = 990,146,852,626,801
  5. Step 5: Solve for x
    x = 990,146,852,626,801/21,033,772
  6. Step 6: Final answer
    x = 47,074,145.93

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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.