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Finding the Third Proportional to 646,240 and 1,073,312

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Solution

The third proportional to 646,240 and 1,073,312 is: 1,782,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,240 : 1,073,312 = 1,073,312 : x
  2. Step 2: Convert to fraction form
    646,240/1,073,312 = 1,073,312/x
  3. Step 3: Cross multiply
    646,240x = 1,073,312 × 1,073,312
  4. Step 4: Simplify right side
    646,240x = 1,151,998,649,344
  5. Step 5: Solve for x
    x = 1,151,998,649,344/646,240
  6. Step 6: Final answer
    x = 1,782,617.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.