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Finding the Third Proportional to 164,147,140 and 256,158,440

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Solution

The third proportional to 164,147,140 and 256,158,440 is: 399,745,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,147,140 : 256,158,440 = 256,158,440 : x
  2. Step 2: Convert to fraction form
    164,147,140/256,158,440 = 256,158,440/x
  3. Step 3: Cross multiply
    164,147,140x = 256,158,440 × 256,158,440
  4. Step 4: Simplify right side
    164,147,140x = 65,617,146,383,233,600
  5. Step 5: Solve for x
    x = 65,617,146,383,233,600/164,147,140
  6. Step 6: Final answer
    x = 399,745,901.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.