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Finding the Third Proportional to 572,205 and 1,242,729

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Solution

The third proportional to 572,205 and 1,242,729 is: 2,698,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,205 : 1,242,729 = 1,242,729 : x
  2. Step 2: Convert to fraction form
    572,205/1,242,729 = 1,242,729/x
  3. Step 3: Cross multiply
    572,205x = 1,242,729 × 1,242,729
  4. Step 4: Simplify right side
    572,205x = 1,544,375,367,441
  5. Step 5: Solve for x
    x = 1,544,375,367,441/572,205
  6. Step 6: Final answer
    x = 2,698,989.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.