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Finding the Third Proportional to 691,143 and 1,081,860

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Solution

The third proportional to 691,143 and 1,081,860 is: 1,693,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,143 : 1,081,860 = 1,081,860 : x
  2. Step 2: Convert to fraction form
    691,143/1,081,860 = 1,081,860/x
  3. Step 3: Cross multiply
    691,143x = 1,081,860 × 1,081,860
  4. Step 4: Simplify right side
    691,143x = 1,170,421,059,600
  5. Step 5: Solve for x
    x = 1,170,421,059,600/691,143
  6. Step 6: Final answer
    x = 1,693,457.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.