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Finding the Third Proportional to 611,926 and 860,205

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Solution

The third proportional to 611,926 and 860,205 is: 1,209,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,926 : 860,205 = 860,205 : x
  2. Step 2: Convert to fraction form
    611,926/860,205 = 860,205/x
  3. Step 3: Cross multiply
    611,926x = 860,205 × 860,205
  4. Step 4: Simplify right side
    611,926x = 739,952,642,025
  5. Step 5: Solve for x
    x = 739,952,642,025/611,926
  6. Step 6: Final answer
    x = 1,209,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.