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Finding the Third Proportional to 390,465.75 and 589,858.88

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Solution

The third proportional to 390,465.75 and 589,858.88 is: 891,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,465.75 : 589,858.88 = 589,858.88 : x
  2. Step 2: Convert to fraction form
    390,465.75/589,858.88 = 589,858.88/x
  3. Step 3: Cross multiply
    390,465.75x = 589,858.88 × 589,858.88
  4. Step 4: Simplify right side
    390,465.75x = 347,933,492,416.27
  5. Step 5: Solve for x
    x = 347,933,492,416.27/390,465.75
  6. Step 6: Final answer
    x = 891,073.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.