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Finding the Third Proportional to 198,252,642 and 429,448,740

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Solution

The third proportional to 198,252,642 and 429,448,740 is: 930,258,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,642 : 429,448,740 = 429,448,740 : x
  2. Step 2: Convert to fraction form
    198,252,642/429,448,740 = 429,448,740/x
  3. Step 3: Cross multiply
    198,252,642x = 429,448,740 × 429,448,740
  4. Step 4: Simplify right side
    198,252,642x = 184,426,220,287,587,584
  5. Step 5: Solve for x
    x = 184,426,220,287,587,584/198,252,642
  6. Step 6: Final answer
    x = 930,258,575.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.