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Finding the Third Proportional to 431,582 and 907,912

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Solution

The third proportional to 431,582 and 907,912 is: 1,909,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,582 : 907,912 = 907,912 : x
  2. Step 2: Convert to fraction form
    431,582/907,912 = 907,912/x
  3. Step 3: Cross multiply
    431,582x = 907,912 × 907,912
  4. Step 4: Simplify right side
    431,582x = 824,304,199,744
  5. Step 5: Solve for x
    x = 824,304,199,744/431,582
  6. Step 6: Final answer
    x = 1,909,959.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.