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Finding the Third Proportional to 84,220,711,100 and 187,271,971,128

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Solution

The third proportional to 84,220,711,100 and 187,271,971,128 is: 416,415,282,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,220,711,100 : 187,271,971,128 = 187,271,971,128 : x
  2. Step 2: Convert to fraction form
    84,220,711,100/187,271,971,128 = 187,271,971,128/x
  3. Step 3: Cross multiply
    84,220,711,100x = 187,271,971,128 × 187,271,971,128
  4. Step 4: Simplify right side
    84,220,711,100x = 35,070,791,170,166,464,970,752
  5. Step 5: Solve for x
    x = 35,070,791,170,166,464,970,752/84,220,711,100
  6. Step 6: Final answer
    x = 416,415,282,085.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.