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Finding the Third Proportional to 415,820 and 901,570

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Solution

The third proportional to 415,820 and 901,570 is: 1,954,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820 : 901,570 = 901,570 : x
  2. Step 2: Convert to fraction form
    415,820/901,570 = 901,570/x
  3. Step 3: Cross multiply
    415,820x = 901,570 × 901,570
  4. Step 4: Simplify right side
    415,820x = 812,828,464,900
  5. Step 5: Solve for x
    x = 812,828,464,900/415,820
  6. Step 6: Final answer
    x = 1,954,760.39

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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.