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Finding the Third Proportional to 242,576,760 and 396,064,056

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Solution

The third proportional to 242,576,760 and 396,064,056 is: 646,668,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,576,760 : 396,064,056 = 396,064,056 : x
  2. Step 2: Convert to fraction form
    242,576,760/396,064,056 = 396,064,056/x
  3. Step 3: Cross multiply
    242,576,760x = 396,064,056 × 396,064,056
  4. Step 4: Simplify right side
    242,576,760x = 156,866,736,455,171,136
  5. Step 5: Solve for x
    x = 156,866,736,455,171,136/242,576,760
  6. Step 6: Final answer
    x = 646,668,446.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.