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Finding the Third Proportional to 403,588 and 877,160

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Solution

The third proportional to 403,588 and 877,160 is: 1,906,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,588 : 877,160 = 877,160 : x
  2. Step 2: Convert to fraction form
    403,588/877,160 = 877,160/x
  3. Step 3: Cross multiply
    403,588x = 877,160 × 877,160
  4. Step 4: Simplify right side
    403,588x = 769,409,665,600
  5. Step 5: Solve for x
    x = 769,409,665,600/403,588
  6. Step 6: Final answer
    x = 1,906,423.54

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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.