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Finding the Third Proportional to 272,913.75 and 390,786.75

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Solution

The third proportional to 272,913.75 and 390,786.75 is: 559,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,913.75 : 390,786.75 = 390,786.75 : x
  2. Step 2: Convert to fraction form
    272,913.75/390,786.75 = 390,786.75/x
  3. Step 3: Cross multiply
    272,913.75x = 390,786.75 × 390,786.75
  4. Step 4: Simplify right side
    272,913.75x = 152,714,283,975.56
  5. Step 5: Solve for x
    x = 152,714,283,975.56/272,913.75
  6. Step 6: Final answer
    x = 559,569.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.