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Finding the Third Proportional to 270,411.75 and 420,374.25

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Solution

The third proportional to 270,411.75 and 420,374.25 is: 653,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,411.75 : 420,374.25 = 420,374.25 : x
  2. Step 2: Convert to fraction form
    270,411.75/420,374.25 = 420,374.25/x
  3. Step 3: Cross multiply
    270,411.75x = 420,374.25 × 420,374.25
  4. Step 4: Simplify right side
    270,411.75x = 176,714,510,063.06
  5. Step 5: Solve for x
    x = 176,714,510,063.06/270,411.75
  6. Step 6: Final answer
    x = 653,501.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.