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Finding the Third Proportional to 8,314,947 and 17,778,987

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Solution

The third proportional to 8,314,947 and 17,778,987 is: 38,014,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314,947 : 17,778,987 = 17,778,987 : x
  2. Step 2: Convert to fraction form
    8,314,947/17,778,987 = 17,778,987/x
  3. Step 3: Cross multiply
    8,314,947x = 17,778,987 × 17,778,987
  4. Step 4: Simplify right side
    8,314,947x = 316,092,378,746,169
  5. Step 5: Solve for x
    x = 316,092,378,746,169/8,314,947
  6. Step 6: Final answer
    x = 38,014,960.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.