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Finding the Third Proportional to 406,106 and 631,307

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Solution

The third proportional to 406,106 and 631,307 is: 981,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,106 : 631,307 = 631,307 : x
  2. Step 2: Convert to fraction form
    406,106/631,307 = 631,307/x
  3. Step 3: Cross multiply
    406,106x = 631,307 × 631,307
  4. Step 4: Simplify right side
    406,106x = 398,548,528,249
  5. Step 5: Solve for x
    x = 398,548,528,249/406,106
  6. Step 6: Final answer
    x = 981,390.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.