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Finding the Third Proportional to 403,584 and 877,152

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Solution

The third proportional to 403,584 and 877,152 is: 1,906,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,584 : 877,152 = 877,152 : x
  2. Step 2: Convert to fraction form
    403,584/877,152 = 877,152/x
  3. Step 3: Cross multiply
    403,584x = 877,152 × 877,152
  4. Step 4: Simplify right side
    403,584x = 769,395,631,104
  5. Step 5: Solve for x
    x = 769,395,631,104/403,584
  6. Step 6: Final answer
    x = 1,906,407.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.