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Finding the Third Proportional to 7,178,416 and 15,483,920

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Solution

The third proportional to 7,178,416 and 15,483,920 is: 33,398,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,416 : 15,483,920 = 15,483,920 : x
  2. Step 2: Convert to fraction form
    7,178,416/15,483,920 = 15,483,920/x
  3. Step 3: Cross multiply
    7,178,416x = 15,483,920 × 15,483,920
  4. Step 4: Simplify right side
    7,178,416x = 239,751,778,566,400
  5. Step 5: Solve for x
    x = 239,751,778,566,400/7,178,416
  6. Step 6: Final answer
    x = 33,398,980.86

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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.