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Finding the Third Proportional to 280,273 and 402,913.50

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Solution

The third proportional to 280,273 and 402,913.50 is: 579,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,273 : 402,913.50 = 402,913.50 : x
  2. Step 2: Convert to fraction form
    280,273/402,913.50 = 402,913.50/x
  3. Step 3: Cross multiply
    280,273x = 402,913.50 × 402,913.50
  4. Step 4: Simplify right side
    280,273x = 162,339,288,482.25
  5. Step 5: Solve for x
    x = 162,339,288,482.25/280,273
  6. Step 6: Final answer
    x = 579,218.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.