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Finding the Third Proportional to 280,725.75 and 608,746.50

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Solution

The third proportional to 280,725.75 and 608,746.50 is: 1,320,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,725.75 : 608,746.50 = 608,746.50 : x
  2. Step 2: Convert to fraction form
    280,725.75/608,746.50 = 608,746.50/x
  3. Step 3: Cross multiply
    280,725.75x = 608,746.50 × 608,746.50
  4. Step 4: Simplify right side
    280,725.75x = 370,572,301,262.25
  5. Step 5: Solve for x
    x = 370,572,301,262.25/280,725.75
  6. Step 6: Final answer
    x = 1,320,050.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.