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Finding the Third Proportional to 282,420 and 432,648

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Solution

The third proportional to 282,420 and 432,648 is: 662,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420 : 432,648 = 432,648 : x
  2. Step 2: Convert to fraction form
    282,420/432,648 = 432,648/x
  3. Step 3: Cross multiply
    282,420x = 432,648 × 432,648
  4. Step 4: Simplify right side
    282,420x = 187,184,291,904
  5. Step 5: Solve for x
    x = 187,184,291,904/282,420
  6. Step 6: Final answer
    x = 662,786.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.