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Finding the Third Proportional to 31,671,416 and 67,821,808

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Solution

The third proportional to 31,671,416 and 67,821,808 is: 145,234,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671,416 : 67,821,808 = 67,821,808 : x
  2. Step 2: Convert to fraction form
    31,671,416/67,821,808 = 67,821,808/x
  3. Step 3: Cross multiply
    31,671,416x = 67,821,808 × 67,821,808
  4. Step 4: Simplify right side
    31,671,416x = 4,599,797,640,388,864
  5. Step 5: Solve for x
    x = 4,599,797,640,388,864/31,671,416
  6. Step 6: Final answer
    x = 145,234,985.40

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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.