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Finding the Third Proportional to 331,605 and 710,486.50

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Solution

The third proportional to 331,605 and 710,486.50 is: 1,522,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,605 : 710,486.50 = 710,486.50 : x
  2. Step 2: Convert to fraction form
    331,605/710,486.50 = 710,486.50/x
  3. Step 3: Cross multiply
    331,605x = 710,486.50 × 710,486.50
  4. Step 4: Simplify right side
    331,605x = 504,791,066,682.25
  5. Step 5: Solve for x
    x = 504,791,066,682.25/331,605
  6. Step 6: Final answer
    x = 1,522,266.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.