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Finding the Third Proportional to 68,429,880 and 141,710,220

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Solution

The third proportional to 68,429,880 and 141,710,220 is: 293,465,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,429,880 : 141,710,220 = 141,710,220 : x
  2. Step 2: Convert to fraction form
    68,429,880/141,710,220 = 141,710,220/x
  3. Step 3: Cross multiply
    68,429,880x = 141,710,220 × 141,710,220
  4. Step 4: Simplify right side
    68,429,880x = 20,081,786,452,448,400
  5. Step 5: Solve for x
    x = 20,081,786,452,448,400/68,429,880
  6. Step 6: Final answer
    x = 293,465,171.24

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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.