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Finding the Third Proportional to 31,880,490 and 66,029,436

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Solution

The third proportional to 31,880,490 and 66,029,436 is: 136,757,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880,490 : 66,029,436 = 66,029,436 : x
  2. Step 2: Convert to fraction form
    31,880,490/66,029,436 = 66,029,436/x
  3. Step 3: Cross multiply
    31,880,490x = 66,029,436 × 66,029,436
  4. Step 4: Simplify right side
    31,880,490x = 4,359,886,418,478,096
  5. Step 5: Solve for x
    x = 4,359,886,418,478,096/31,880,490
  6. Step 6: Final answer
    x = 136,757,195.97

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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.