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Finding the Third Proportional to 918,609 and 1,970,106

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Solution

The third proportional to 918,609 and 1,970,106 is: 4,225,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,609 : 1,970,106 = 1,970,106 : x
  2. Step 2: Convert to fraction form
    918,609/1,970,106 = 1,970,106/x
  3. Step 3: Cross multiply
    918,609x = 1,970,106 × 1,970,106
  4. Step 4: Simplify right side
    918,609x = 3,881,317,651,236
  5. Step 5: Solve for x
    x = 3,881,317,651,236/918,609
  6. Step 6: Final answer
    x = 4,225,211.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.