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Finding the Third Proportional to 562,200 and 893,352

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Solution

The third proportional to 562,200 and 893,352 is: 1,419,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,200 : 893,352 = 893,352 : x
  2. Step 2: Convert to fraction form
    562,200/893,352 = 893,352/x
  3. Step 3: Cross multiply
    562,200x = 893,352 × 893,352
  4. Step 4: Simplify right side
    562,200x = 798,077,795,904
  5. Step 5: Solve for x
    x = 798,077,795,904/562,200
  6. Step 6: Final answer
    x = 1,419,562.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.