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Finding the Third Proportional to 611,842 and 860,072

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Solution

The third proportional to 611,842 and 860,072 is: 1,209,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,842 : 860,072 = 860,072 : x
  2. Step 2: Convert to fraction form
    611,842/860,072 = 860,072/x
  3. Step 3: Cross multiply
    611,842x = 860,072 × 860,072
  4. Step 4: Simplify right side
    611,842x = 739,723,845,184
  5. Step 5: Solve for x
    x = 739,723,845,184/611,842
  6. Step 6: Final answer
    x = 1,209,011.22

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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.