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Finding the Third Proportional to 306,056,970 and 655,776,987

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Solution

The third proportional to 306,056,970 and 655,776,987 is: 1,405,109,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,056,970 : 655,776,987 = 655,776,987 : x
  2. Step 2: Convert to fraction form
    306,056,970/655,776,987 = 655,776,987/x
  3. Step 3: Cross multiply
    306,056,970x = 655,776,987 × 655,776,987
  4. Step 4: Simplify right side
    306,056,970x = 430,043,456,678,798,144
  5. Step 5: Solve for x
    x = 430,043,456,678,798,144/306,056,970
  6. Step 6: Final answer
    x = 1,405,109,175.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.