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Finding the Third Proportional to 37,784,520 and 78,257,808

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Solution

The third proportional to 37,784,520 and 78,257,808 is: 162,084,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784,520 : 78,257,808 = 78,257,808 : x
  2. Step 2: Convert to fraction form
    37,784,520/78,257,808 = 78,257,808/x
  3. Step 3: Cross multiply
    37,784,520x = 78,257,808 × 78,257,808
  4. Step 4: Simplify right side
    37,784,520x = 6,124,284,512,964,864
  5. Step 5: Solve for x
    x = 6,124,284,512,964,864/37,784,520
  6. Step 6: Final answer
    x = 162,084,486.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.