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Finding the Third Proportional to 771,720 and 1,668,208

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Solution

The third proportional to 771,720 and 1,668,208 is: 3,606,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,720 : 1,668,208 = 1,668,208 : x
  2. Step 2: Convert to fraction form
    771,720/1,668,208 = 1,668,208/x
  3. Step 3: Cross multiply
    771,720x = 1,668,208 × 1,668,208
  4. Step 4: Simplify right side
    771,720x = 2,782,917,931,264
  5. Step 5: Solve for x
    x = 2,782,917,931,264/771,720
  6. Step 6: Final answer
    x = 3,606,123.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.