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Finding the Third Proportional to 379,138 and 829,700

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Solution

The third proportional to 379,138 and 829,700 is: 1,815,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,138 : 829,700 = 829,700 : x
  2. Step 2: Convert to fraction form
    379,138/829,700 = 829,700/x
  3. Step 3: Cross multiply
    379,138x = 829,700 × 829,700
  4. Step 4: Simplify right side
    379,138x = 688,402,090,000
  5. Step 5: Solve for x
    x = 688,402,090,000/379,138
  6. Step 6: Final answer
    x = 1,815,703.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.