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Finding the Third Proportional to 390,193,520.63 and 570,639,384

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Solution

The third proportional to 390,193,520.63 and 570,639,384 is: 834,532,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,193,520.63 : 570,639,384 = 570,639,384 : x
  2. Step 2: Convert to fraction form
    390,193,520.63/570,639,384 = 570,639,384/x
  3. Step 3: Cross multiply
    390,193,520.63x = 570,639,384 × 570,639,384
  4. Step 4: Simplify right side
    390,193,520.63x = 325,629,306,571,899,456
  5. Step 5: Solve for x
    x = 325,629,306,571,899,456/390,193,520.63
  6. Step 6: Final answer
    x = 834,532,839.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.