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Finding the Third Proportional to 330,244.50 and 390,022.50

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Solution

The third proportional to 330,244.50 and 390,022.50 is: 460,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,244.50 : 390,022.50 = 390,022.50 : x
  2. Step 2: Convert to fraction form
    330,244.50/390,022.50 = 390,022.50/x
  3. Step 3: Cross multiply
    330,244.50x = 390,022.50 × 390,022.50
  4. Step 4: Simplify right side
    330,244.50x = 152,117,550,506.25
  5. Step 5: Solve for x
    x = 152,117,550,506.25/330,244.50
  6. Step 6: Final answer
    x = 460,621.00

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.