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Finding the Third Proportional to 161,412,813 and 256,963,500

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Solution

The third proportional to 161,412,813 and 256,963,500 is: 409,076,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,813 : 256,963,500 = 256,963,500 : x
  2. Step 2: Convert to fraction form
    161,412,813/256,963,500 = 256,963,500/x
  3. Step 3: Cross multiply
    161,412,813x = 256,963,500 × 256,963,500
  4. Step 4: Simplify right side
    161,412,813x = 66,030,240,332,250,000
  5. Step 5: Solve for x
    x = 66,030,240,332,250,000/161,412,813
  6. Step 6: Final answer
    x = 409,076,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.