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Finding the Third Proportional to 31,880,520 and 66,029,490

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Solution

The third proportional to 31,880,520 and 66,029,490 is: 136,757,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880,520 : 66,029,490 = 66,029,490 : x
  2. Step 2: Convert to fraction form
    31,880,520/66,029,490 = 66,029,490/x
  3. Step 3: Cross multiply
    31,880,520x = 66,029,490 × 66,029,490
  4. Step 4: Simplify right side
    31,880,520x = 4,359,893,549,660,100
  5. Step 5: Solve for x
    x = 4,359,893,549,660,100/31,880,520
  6. Step 6: Final answer
    x = 136,757,290.96

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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.