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Finding the Third Proportional to 423,362 and 603,513

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Solution

The third proportional to 423,362 and 603,513 is: 860,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,362 : 603,513 = 603,513 : x
  2. Step 2: Convert to fraction form
    423,362/603,513 = 603,513/x
  3. Step 3: Cross multiply
    423,362x = 603,513 × 603,513
  4. Step 4: Simplify right side
    423,362x = 364,227,941,169
  5. Step 5: Solve for x
    x = 364,227,941,169/423,362
  6. Step 6: Final answer
    x = 860,322.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.