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Finding the Third Proportional to 646,764 and 1,405,440

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Solution

The third proportional to 646,764 and 1,405,440 is: 3,054,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,764 : 1,405,440 = 1,405,440 : x
  2. Step 2: Convert to fraction form
    646,764/1,405,440 = 1,405,440/x
  3. Step 3: Cross multiply
    646,764x = 1,405,440 × 1,405,440
  4. Step 4: Simplify right side
    646,764x = 1,975,261,593,600
  5. Step 5: Solve for x
    x = 1,975,261,593,600/646,764
  6. Step 6: Final answer
    x = 3,054,068.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.