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Finding the Third Proportional to 66,130,560 and 140,128,128

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Solution

The third proportional to 66,130,560 and 140,128,128 is: 296,926,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,130,560 : 140,128,128 = 140,128,128 : x
  2. Step 2: Convert to fraction form
    66,130,560/140,128,128 = 140,128,128/x
  3. Step 3: Cross multiply
    66,130,560x = 140,128,128 × 140,128,128
  4. Step 4: Simplify right side
    66,130,560x = 19,635,892,256,784,384
  5. Step 5: Solve for x
    x = 19,635,892,256,784,384/66,130,560
  6. Step 6: Final answer
    x = 296,926,145.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.