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Finding the Third Proportional to 287,614 and 435,444

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Solution

The third proportional to 287,614 and 435,444 is: 659,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,614 : 435,444 = 435,444 : x
  2. Step 2: Convert to fraction form
    287,614/435,444 = 435,444/x
  3. Step 3: Cross multiply
    287,614x = 435,444 × 435,444
  4. Step 4: Simplify right side
    287,614x = 189,611,477,136
  5. Step 5: Solve for x
    x = 189,611,477,136/287,614
  6. Step 6: Final answer
    x = 659,256.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.