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Finding the Third Proportional to 390,852 and 583,975.50

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Solution

The third proportional to 390,852 and 583,975.50 is: 872,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,852 : 583,975.50 = 583,975.50 : x
  2. Step 2: Convert to fraction form
    390,852/583,975.50 = 583,975.50/x
  3. Step 3: Cross multiply
    390,852x = 583,975.50 × 583,975.50
  4. Step 4: Simplify right side
    390,852x = 341,027,384,600.25
  5. Step 5: Solve for x
    x = 341,027,384,600.25/390,852
  6. Step 6: Final answer
    x = 872,523.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.