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Finding the Third Proportional to 21,018,304.50 and 29,585,506.50

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Solution

The third proportional to 21,018,304.50 and 29,585,506.50 is: 41,644,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,304.50 : 29,585,506.50 = 29,585,506.50 : x
  2. Step 2: Convert to fraction form
    21,018,304.50/29,585,506.50 = 29,585,506.50/x
  3. Step 3: Cross multiply
    21,018,304.50x = 29,585,506.50 × 29,585,506.50
  4. Step 4: Simplify right side
    21,018,304.50x = 875,302,194,861,542.25
  5. Step 5: Solve for x
    x = 875,302,194,861,542.25/21,018,304.50
  6. Step 6: Final answer
    x = 41,644,757.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.