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Finding the Third Proportional to 312,312 and 494,040

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Solution

The third proportional to 312,312 and 494,040 is: 781,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,312 : 494,040 = 494,040 : x
  2. Step 2: Convert to fraction form
    312,312/494,040 = 494,040/x
  3. Step 3: Cross multiply
    312,312x = 494,040 × 494,040
  4. Step 4: Simplify right side
    312,312x = 244,075,521,600
  5. Step 5: Solve for x
    x = 244,075,521,600/312,312
  6. Step 6: Final answer
    x = 781,511.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.