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Finding the Third Proportional to 287,612 and 435,440

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Solution

The third proportional to 287,612 and 435,440 is: 659,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,612 : 435,440 = 435,440 : x
  2. Step 2: Convert to fraction form
    287,612/435,440 = 435,440/x
  3. Step 3: Cross multiply
    287,612x = 435,440 × 435,440
  4. Step 4: Simplify right side
    287,612x = 189,607,993,600
  5. Step 5: Solve for x
    x = 189,607,993,600/287,612
  6. Step 6: Final answer
    x = 659,249.24

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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.