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Finding the Third Proportional to 204,163,140 and 448,007,100

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Solution

The third proportional to 204,163,140 and 448,007,100 is: 983,088,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,163,140 : 448,007,100 = 448,007,100 : x
  2. Step 2: Convert to fraction form
    204,163,140/448,007,100 = 448,007,100/x
  3. Step 3: Cross multiply
    204,163,140x = 448,007,100 × 448,007,100
  4. Step 4: Simplify right side
    204,163,140x = 200,710,361,650,409,984
  5. Step 5: Solve for x
    x = 200,710,361,650,409,984/204,163,140
  6. Step 6: Final answer
    x = 983,088,140.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.