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Finding the Third Proportional to 31,671,420 and 67,821,816

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Solution

The third proportional to 31,671,420 and 67,821,816 is: 145,235,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671,420 : 67,821,816 = 67,821,816 : x
  2. Step 2: Convert to fraction form
    31,671,420/67,821,816 = 67,821,816/x
  3. Step 3: Cross multiply
    31,671,420x = 67,821,816 × 67,821,816
  4. Step 4: Simplify right side
    31,671,420x = 4,599,798,725,537,856
  5. Step 5: Solve for x
    x = 4,599,798,725,537,856/31,671,420
  6. Step 6: Final answer
    x = 145,235,001.32

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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.