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Finding the Third Proportional to 215,432,946 and 341,185,191

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Solution

The third proportional to 215,432,946 and 341,185,191 is: 540,341,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,432,946 : 341,185,191 = 341,185,191 : x
  2. Step 2: Convert to fraction form
    215,432,946/341,185,191 = 341,185,191/x
  3. Step 3: Cross multiply
    215,432,946x = 341,185,191 × 341,185,191
  4. Step 4: Simplify right side
    215,432,946x = 116,407,334,557,706,480
  5. Step 5: Solve for x
    x = 116,407,334,557,706,480/215,432,946
  6. Step 6: Final answer
    x = 540,341,376.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.