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Finding the Third Proportional to 436,428 and 658,530

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Solution

The third proportional to 436,428 and 658,530 is: 993,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,428 : 658,530 = 658,530 : x
  2. Step 2: Convert to fraction form
    436,428/658,530 = 658,530/x
  3. Step 3: Cross multiply
    436,428x = 658,530 × 658,530
  4. Step 4: Simplify right side
    436,428x = 433,661,760,900
  5. Step 5: Solve for x
    x = 433,661,760,900/436,428
  6. Step 6: Final answer
    x = 993,661.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.