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Finding the Third Proportional to 143,080,072 and 309,929,871

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Solution

The third proportional to 143,080,072 and 309,929,871 is: 671,348,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,080,072 : 309,929,871 = 309,929,871 : x
  2. Step 2: Convert to fraction form
    143,080,072/309,929,871 = 309,929,871/x
  3. Step 3: Cross multiply
    143,080,072x = 309,929,871 × 309,929,871
  4. Step 4: Simplify right side
    143,080,072x = 96,056,524,938,076,640
  5. Step 5: Solve for x
    x = 96,056,524,938,076,640/143,080,072
  6. Step 6: Final answer
    x = 671,348,033.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.