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Finding the Third Proportional to 870,391 and 1,330,595

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Solution

The third proportional to 870,391 and 1,330,595 is: 2,034,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,391 : 1,330,595 = 1,330,595 : x
  2. Step 2: Convert to fraction form
    870,391/1,330,595 = 1,330,595/x
  3. Step 3: Cross multiply
    870,391x = 1,330,595 × 1,330,595
  4. Step 4: Simplify right side
    870,391x = 1,770,483,054,025
  5. Step 5: Solve for x
    x = 1,770,483,054,025/870,391
  6. Step 6: Final answer
    x = 2,034,123.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.