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Finding the Third Proportional to 287,731 and 435,594

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Solution

The third proportional to 287,731 and 435,594 is: 659,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,731 : 435,594 = 435,594 : x
  2. Step 2: Convert to fraction form
    287,731/435,594 = 435,594/x
  3. Step 3: Cross multiply
    287,731x = 435,594 × 435,594
  4. Step 4: Simplify right side
    287,731x = 189,742,132,836
  5. Step 5: Solve for x
    x = 189,742,132,836/287,731
  6. Step 6: Final answer
    x = 659,442.79

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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.