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Finding the Third Proportional to 431,184 and 907,056

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Solution

The third proportional to 431,184 and 907,056 is: 1,908,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,184 : 907,056 = 907,056 : x
  2. Step 2: Convert to fraction form
    431,184/907,056 = 907,056/x
  3. Step 3: Cross multiply
    431,184x = 907,056 × 907,056
  4. Step 4: Simplify right side
    431,184x = 822,750,587,136
  5. Step 5: Solve for x
    x = 822,750,587,136/431,184
  6. Step 6: Final answer
    x = 1,908,119.47

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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.