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Finding the Third Proportional to 287,960 and 434,536

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Solution

The third proportional to 287,960 and 434,536 is: 655,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,960 : 434,536 = 434,536 : x
  2. Step 2: Convert to fraction form
    287,960/434,536 = 434,536/x
  3. Step 3: Cross multiply
    287,960x = 434,536 × 434,536
  4. Step 4: Simplify right side
    287,960x = 188,821,535,296
  5. Step 5: Solve for x
    x = 188,821,535,296/287,960
  6. Step 6: Final answer
    x = 655,721.40

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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.