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Finding the Third Proportional to 431,368 and 907,356

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Solution

The third proportional to 431,368 and 907,356 is: 1,908,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,368 : 907,356 = 907,356 : x
  2. Step 2: Convert to fraction form
    431,368/907,356 = 907,356/x
  3. Step 3: Cross multiply
    431,368x = 907,356 × 907,356
  4. Step 4: Simplify right side
    431,368x = 823,294,910,736
  5. Step 5: Solve for x
    x = 823,294,910,736/431,368
  6. Step 6: Final answer
    x = 1,908,567.42

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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.