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Finding the Third Proportional to 390,467,466 and 518,208,190

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Solution

The third proportional to 390,467,466 and 518,208,190 is: 687,739,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,467,466 : 518,208,190 = 518,208,190 : x
  2. Step 2: Convert to fraction form
    390,467,466/518,208,190 = 518,208,190/x
  3. Step 3: Cross multiply
    390,467,466x = 518,208,190 × 518,208,190
  4. Step 4: Simplify right side
    390,467,466x = 268,539,728,183,076,096
  5. Step 5: Solve for x
    x = 268,539,728,183,076,096/390,467,466
  6. Step 6: Final answer
    x = 687,739,060.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.