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Finding the Third Proportional to 421,822.69 and 602,776.69

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Solution

The third proportional to 421,822.69 and 602,776.69 is: 861,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,822.69 : 602,776.69 = 602,776.69 : x
  2. Step 2: Convert to fraction form
    421,822.69/602,776.69 = 602,776.69/x
  3. Step 3: Cross multiply
    421,822.69x = 602,776.69 × 602,776.69
  4. Step 4: Simplify right side
    421,822.69x = 363,339,734,993.47
  5. Step 5: Solve for x
    x = 363,339,734,993.47/421,822.69
  6. Step 6: Final answer
    x = 861,356.55

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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.