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Finding the Third Proportional to 68,663,730 and 149,137,260

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Solution

The third proportional to 68,663,730 and 149,137,260 is: 323,925,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,663,730 : 149,137,260 = 149,137,260 : x
  2. Step 2: Convert to fraction form
    68,663,730/149,137,260 = 149,137,260/x
  3. Step 3: Cross multiply
    68,663,730x = 149,137,260 × 149,137,260
  4. Step 4: Simplify right side
    68,663,730x = 22,241,922,320,307,600
  5. Step 5: Solve for x
    x = 22,241,922,320,307,600/68,663,730
  6. Step 6: Final answer
    x = 323,925,343.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.