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Finding the Third Proportional to 9,790,416 and 21,207,987

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Solution

The third proportional to 9,790,416 and 21,207,987 is: 45,940,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,416 : 21,207,987 = 21,207,987 : x
  2. Step 2: Convert to fraction form
    9,790,416/21,207,987 = 21,207,987/x
  3. Step 3: Cross multiply
    9,790,416x = 21,207,987 × 21,207,987
  4. Step 4: Simplify right side
    9,790,416x = 449,778,712,592,169
  5. Step 5: Solve for x
    x = 449,778,712,592,169/9,790,416
  6. Step 6: Final answer
    x = 45,940,715.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.