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Finding the Third Proportional to 490,148 and 749,640

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Solution

The third proportional to 490,148 and 749,640 is: 1,146,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,148 : 749,640 = 749,640 : x
  2. Step 2: Convert to fraction form
    490,148/749,640 = 749,640/x
  3. Step 3: Cross multiply
    490,148x = 749,640 × 749,640
  4. Step 4: Simplify right side
    490,148x = 561,960,129,600
  5. Step 5: Solve for x
    x = 561,960,129,600/490,148
  6. Step 6: Final answer
    x = 1,146,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.