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Finding the Third Proportional to 287,829 and 459,823.50

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Solution

The third proportional to 287,829 and 459,823.50 is: 734,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,829 : 459,823.50 = 459,823.50 : x
  2. Step 2: Convert to fraction form
    287,829/459,823.50 = 459,823.50/x
  3. Step 3: Cross multiply
    287,829x = 459,823.50 × 459,823.50
  4. Step 4: Simplify right side
    287,829x = 211,437,651,152.25
  5. Step 5: Solve for x
    x = 211,437,651,152.25/287,829
  6. Step 6: Final answer
    x = 734,594.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.