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Finding the Third Proportional to 15,167,640 and 21,461,751.75

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Solution

The third proportional to 15,167,640 and 21,461,751.75 is: 30,367,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167,640 : 21,461,751.75 = 21,461,751.75 : x
  2. Step 2: Convert to fraction form
    15,167,640/21,461,751.75 = 21,461,751.75/x
  3. Step 3: Cross multiply
    15,167,640x = 21,461,751.75 × 21,461,751.75
  4. Step 4: Simplify right side
    15,167,640x = 460,606,788,178,628.06
  5. Step 5: Solve for x
    x = 460,606,788,178,628.06/15,167,640
  6. Step 6: Final answer
    x = 30,367,729.47

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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.