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Finding the Third Proportional to 320,420,678 and 657,827,684

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Solution

The third proportional to 320,420,678 and 657,827,684 is: 1,350,528,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,420,678 : 657,827,684 = 657,827,684 : x
  2. Step 2: Convert to fraction form
    320,420,678/657,827,684 = 657,827,684/x
  3. Step 3: Cross multiply
    320,420,678x = 657,827,684 × 657,827,684
  4. Step 4: Simplify right side
    320,420,678x = 432,737,261,836,803,840
  5. Step 5: Solve for x
    x = 432,737,261,836,803,840/320,420,678
  6. Step 6: Final answer
    x = 1,350,528,513.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.