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Finding the Third Proportional to 308,442,272 and 411,210,480

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Solution

The third proportional to 308,442,272 and 411,210,480 is: 548,219,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,442,272 : 411,210,480 = 411,210,480 : x
  2. Step 2: Convert to fraction form
    308,442,272/411,210,480 = 411,210,480/x
  3. Step 3: Cross multiply
    308,442,272x = 411,210,480 × 411,210,480
  4. Step 4: Simplify right side
    308,442,272x = 169,094,058,861,830,400
  5. Step 5: Solve for x
    x = 169,094,058,861,830,400/308,442,272
  6. Step 6: Final answer
    x = 548,219,469.94

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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.