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Finding the Third Proportional to 8,461,948 and 18,270,486

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Solution

The third proportional to 8,461,948 and 18,270,486 is: 39,448,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,948 : 18,270,486 = 18,270,486 : x
  2. Step 2: Convert to fraction form
    8,461,948/18,270,486 = 18,270,486/x
  3. Step 3: Cross multiply
    8,461,948x = 18,270,486 × 18,270,486
  4. Step 4: Simplify right side
    8,461,948x = 333,810,658,676,196
  5. Step 5: Solve for x
    x = 333,810,658,676,196/8,461,948
  6. Step 6: Final answer
    x = 39,448,441.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.