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Finding the Third Proportional to 368,823 and 556,623

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Solution

The third proportional to 368,823 and 556,623 is: 840,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,823 : 556,623 = 556,623 : x
  2. Step 2: Convert to fraction form
    368,823/556,623 = 556,623/x
  3. Step 3: Cross multiply
    368,823x = 556,623 × 556,623
  4. Step 4: Simplify right side
    368,823x = 309,829,164,129
  5. Step 5: Solve for x
    x = 309,829,164,129/368,823
  6. Step 6: Final answer
    x = 840,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.