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Finding the Third Proportional to 656,517,018 and 1,421,979,684

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Solution

The third proportional to 656,517,018 and 1,421,979,684 is: 3,079,929,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,517,018 : 1,421,979,684 = 1,421,979,684 : x
  2. Step 2: Convert to fraction form
    656,517,018/1,421,979,684 = 1,421,979,684/x
  3. Step 3: Cross multiply
    656,517,018x = 1,421,979,684 × 1,421,979,684
  4. Step 4: Simplify right side
    656,517,018x = 2,022,026,221,708,739,840
  5. Step 5: Solve for x
    x = 2,022,026,221,708,739,840/656,517,018
  6. Step 6: Final answer
    x = 3,079,929,638.18

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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.