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Finding the Third Proportional to 39,879,342 and 85,285,476

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Solution

The third proportional to 39,879,342 and 85,285,476 is: 182,390,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,879,342 : 85,285,476 = 85,285,476 : x
  2. Step 2: Convert to fraction form
    39,879,342/85,285,476 = 85,285,476/x
  3. Step 3: Cross multiply
    39,879,342x = 85,285,476 × 85,285,476
  4. Step 4: Simplify right side
    39,879,342x = 7,273,612,416,546,576
  5. Step 5: Solve for x
    x = 7,273,612,416,546,576/39,879,342
  6. Step 6: Final answer
    x = 182,390,482.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.