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Finding the Third Proportional to 208,562,312 and 284,026,272

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Solution

The third proportional to 208,562,312 and 284,026,272 is: 386,795,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562,312 : 284,026,272 = 284,026,272 : x
  2. Step 2: Convert to fraction form
    208,562,312/284,026,272 = 284,026,272/x
  3. Step 3: Cross multiply
    208,562,312x = 284,026,272 × 284,026,272
  4. Step 4: Simplify right side
    208,562,312x = 80,670,923,186,217,984
  5. Step 5: Solve for x
    x = 80,670,923,186,217,984/208,562,312
  6. Step 6: Final answer
    x = 386,795,305.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.