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Finding the Third Proportional to 137,880,700 and 213,784,457

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Solution

The third proportional to 137,880,700 and 213,784,457 is: 331,473,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,880,700 : 213,784,457 = 213,784,457 : x
  2. Step 2: Convert to fraction form
    137,880,700/213,784,457 = 213,784,457/x
  3. Step 3: Cross multiply
    137,880,700x = 213,784,457 × 213,784,457
  4. Step 4: Simplify right side
    137,880,700x = 45,703,794,054,784,848
  5. Step 5: Solve for x
    x = 45,703,794,054,784,848/137,880,700
  6. Step 6: Final answer
    x = 331,473,469.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.