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Finding the Third Proportional to 133,078,382 and 289,590,216

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Solution

The third proportional to 133,078,382 and 289,590,216 is: 630,173,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078,382 : 289,590,216 = 289,590,216 : x
  2. Step 2: Convert to fraction form
    133,078,382/289,590,216 = 289,590,216/x
  3. Step 3: Cross multiply
    133,078,382x = 289,590,216 × 289,590,216
  4. Step 4: Simplify right side
    133,078,382x = 83,862,493,202,926,656
  5. Step 5: Solve for x
    x = 83,862,493,202,926,656/133,078,382
  6. Step 6: Final answer
    x = 630,173,676.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.