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Finding the Third Proportional to 338,152 and 786,312

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Solution

The third proportional to 338,152 and 786,312 is: 1,828,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,152 : 786,312 = 786,312 : x
  2. Step 2: Convert to fraction form
    338,152/786,312 = 786,312/x
  3. Step 3: Cross multiply
    338,152x = 786,312 × 786,312
  4. Step 4: Simplify right side
    338,152x = 618,286,561,344
  5. Step 5: Solve for x
    x = 618,286,561,344/338,152
  6. Step 6: Final answer
    x = 1,828,427.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.