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Finding the Third Proportional to 631,773 and 903,442

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Solution

The third proportional to 631,773 and 903,442 is: 1,291,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,773 : 903,442 = 903,442 : x
  2. Step 2: Convert to fraction form
    631,773/903,442 = 903,442/x
  3. Step 3: Cross multiply
    631,773x = 903,442 × 903,442
  4. Step 4: Simplify right side
    631,773x = 816,207,447,364
  5. Step 5: Solve for x
    x = 816,207,447,364/631,773
  6. Step 6: Final answer
    x = 1,291,931.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.