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Finding the Third Proportional to 31,588,148 and 68,989,581

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Solution

The third proportional to 31,588,148 and 68,989,581 is: 150,675,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588,148 : 68,989,581 = 68,989,581 : x
  2. Step 2: Convert to fraction form
    31,588,148/68,989,581 = 68,989,581/x
  3. Step 3: Cross multiply
    31,588,148x = 68,989,581 × 68,989,581
  4. Step 4: Simplify right side
    31,588,148x = 4,759,562,286,555,561
  5. Step 5: Solve for x
    x = 4,759,562,286,555,561/31,588,148
  6. Step 6: Final answer
    x = 150,675,572.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.