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Finding the Third Proportional to 280,966.50 and 602,129.25

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Solution

The third proportional to 280,966.50 and 602,129.25 is: 1,290,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,966.50 : 602,129.25 = 602,129.25 : x
  2. Step 2: Convert to fraction form
    280,966.50/602,129.25 = 602,129.25/x
  3. Step 3: Cross multiply
    280,966.50x = 602,129.25 × 602,129.25
  4. Step 4: Simplify right side
    280,966.50x = 362,559,633,705.56
  5. Step 5: Solve for x
    x = 362,559,633,705.56/280,966.50
  6. Step 6: Final answer
    x = 1,290,401.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.