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Finding the Third Proportional to 287,610 and 435,438

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Solution

The third proportional to 287,610 and 435,438 is: 659,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,610 : 435,438 = 435,438 : x
  2. Step 2: Convert to fraction form
    287,610/435,438 = 435,438/x
  3. Step 3: Cross multiply
    287,610x = 435,438 × 435,438
  4. Step 4: Simplify right side
    287,610x = 189,606,251,844
  5. Step 5: Solve for x
    x = 189,606,251,844/287,610
  6. Step 6: Final answer
    x = 659,247.77

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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.