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Finding the Third Proportional to 198,252,628 and 429,448,712

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Solution

The third proportional to 198,252,628 and 429,448,712 is: 930,258,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,628 : 429,448,712 = 429,448,712 : x
  2. Step 2: Convert to fraction form
    198,252,628/429,448,712 = 429,448,712/x
  3. Step 3: Cross multiply
    198,252,628x = 429,448,712 × 429,448,712
  4. Step 4: Simplify right side
    198,252,628x = 184,426,196,238,458,944
  5. Step 5: Solve for x
    x = 184,426,196,238,458,944/198,252,628
  6. Step 6: Final answer
    x = 930,258,519.64

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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.