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Finding the Third Proportional to 198,272,144 and 429,483,424

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Solution

The third proportional to 198,272,144 and 429,483,424 is: 930,317,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,272,144 : 429,483,424 = 429,483,424 : x
  2. Step 2: Convert to fraction form
    198,272,144/429,483,424 = 429,483,424/x
  3. Step 3: Cross multiply
    198,272,144x = 429,483,424 × 429,483,424
  4. Step 4: Simplify right side
    198,272,144x = 184,456,011,490,763,776
  5. Step 5: Solve for x
    x = 184,456,011,490,763,776/198,272,144
  6. Step 6: Final answer
    x = 930,317,329.35

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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.