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Finding the Third Proportional to 320,420,672 and 657,827,672

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Solution

The third proportional to 320,420,672 and 657,827,672 is: 1,350,528,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,420,672 : 657,827,672 = 657,827,672 : x
  2. Step 2: Convert to fraction form
    320,420,672/657,827,672 = 657,827,672/x
  3. Step 3: Cross multiply
    320,420,672x = 657,827,672 × 657,827,672
  4. Step 4: Simplify right side
    320,420,672x = 432,737,246,048,939,584
  5. Step 5: Solve for x
    x = 432,737,246,048,939,584/320,420,672
  6. Step 6: Final answer
    x = 1,350,528,489.15

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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.