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Finding the Third Proportional to 670,120 and 1,445,208

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Solution

The third proportional to 670,120 and 1,445,208 is: 3,116,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,120 : 1,445,208 = 1,445,208 : x
  2. Step 2: Convert to fraction form
    670,120/1,445,208 = 1,445,208/x
  3. Step 3: Cross multiply
    670,120x = 1,445,208 × 1,445,208
  4. Step 4: Simplify right side
    670,120x = 2,088,626,163,264
  5. Step 5: Solve for x
    x = 2,088,626,163,264/670,120
  6. Step 6: Final answer
    x = 3,116,794.25

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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.