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Finding the Third Proportional to 436,430 and 658,533

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Solution

The third proportional to 436,430 and 658,533 is: 993,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,430 : 658,533 = 658,533 : x
  2. Step 2: Convert to fraction form
    436,430/658,533 = 658,533/x
  3. Step 3: Cross multiply
    436,430x = 658,533 × 658,533
  4. Step 4: Simplify right side
    436,430x = 433,665,712,089
  5. Step 5: Solve for x
    x = 433,665,712,089/436,430
  6. Step 6: Final answer
    x = 993,666.14

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Why These Related Problems?

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