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Finding the Third Proportional to 431,191 and 907,066

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Solution

The third proportional to 431,191 and 907,066 is: 1,908,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,191 : 907,066 = 907,066 : x
  2. Step 2: Convert to fraction form
    431,191/907,066 = 907,066/x
  3. Step 3: Cross multiply
    431,191x = 907,066 × 907,066
  4. Step 4: Simplify right side
    431,191x = 822,768,728,356
  5. Step 5: Solve for x
    x = 822,768,728,356/431,191
  6. Step 6: Final answer
    x = 1,908,130.57

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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.