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Finding the Third Proportional to 217,678,420.88 and 473,618,543.34

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Solution

The third proportional to 217,678,420.88 and 473,618,543.34 is: 1,030,485,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,678,420.88 : 473,618,543.34 = 473,618,543.34 : x
  2. Step 2: Convert to fraction form
    217,678,420.88/473,618,543.34 = 473,618,543.34/x
  3. Step 3: Cross multiply
    217,678,420.88x = 473,618,543.34 × 473,618,543.34
  4. Step 4: Simplify right side
    217,678,420.88x = 224,314,524,599,055,584
  5. Step 5: Solve for x
    x = 224,314,524,599,055,584/217,678,420.88
  6. Step 6: Final answer
    x = 1,030,485,813.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.