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Finding the Third Proportional to 431,213 and 917,647

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Solution

The third proportional to 431,213 and 917,647 is: 1,952,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,213 : 917,647 = 917,647 : x
  2. Step 2: Convert to fraction form
    431,213/917,647 = 917,647/x
  3. Step 3: Cross multiply
    431,213x = 917,647 × 917,647
  4. Step 4: Simplify right side
    431,213x = 842,076,016,609
  5. Step 5: Solve for x
    x = 842,076,016,609/431,213
  6. Step 6: Final answer
    x = 1,952,807.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.