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Finding the Third Proportional to 243,603 and 531,471

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Solution

The third proportional to 243,603 and 531,471 is: 1,159,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,603 : 531,471 = 531,471 : x
  2. Step 2: Convert to fraction form
    243,603/531,471 = 531,471/x
  3. Step 3: Cross multiply
    243,603x = 531,471 × 531,471
  4. Step 4: Simplify right side
    243,603x = 282,461,423,841
  5. Step 5: Solve for x
    x = 282,461,423,841/243,603
  6. Step 6: Final answer
    x = 1,159,515.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.