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Finding the Third Proportional to 390,031.50 and 583,475.25

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Solution

The third proportional to 390,031.50 and 583,475.25 is: 872,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,031.50 : 583,475.25 = 583,475.25 : x
  2. Step 2: Convert to fraction form
    390,031.50/583,475.25 = 583,475.25/x
  3. Step 3: Cross multiply
    390,031.50x = 583,475.25 × 583,475.25
  4. Step 4: Simplify right side
    390,031.50x = 340,443,367,362.56
  5. Step 5: Solve for x
    x = 340,443,367,362.56/390,031.50
  6. Step 6: Final answer
    x = 872,861.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.