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Finding the Third Proportional to 256,398,516 and 521,858,316

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Solution

The third proportional to 256,398,516 and 521,858,316 is: 1,062,159,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,398,516 : 521,858,316 = 521,858,316 : x
  2. Step 2: Convert to fraction form
    256,398,516/521,858,316 = 521,858,316/x
  3. Step 3: Cross multiply
    256,398,516x = 521,858,316 × 521,858,316
  4. Step 4: Simplify right side
    256,398,516x = 272,336,101,978,355,840
  5. Step 5: Solve for x
    x = 272,336,101,978,355,840/256,398,516
  6. Step 6: Final answer
    x = 1,062,159,431.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.