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Finding the Third Proportional to 492,667,422 and 688,778,055

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Solution

The third proportional to 492,667,422 and 688,778,055 is: 962,952,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,667,422 : 688,778,055 = 688,778,055 : x
  2. Step 2: Convert to fraction form
    492,667,422/688,778,055 = 688,778,055/x
  3. Step 3: Cross multiply
    492,667,422x = 688,778,055 × 688,778,055
  4. Step 4: Simplify right side
    492,667,422x = 474,415,209,049,583,040
  5. Step 5: Solve for x
    x = 474,415,209,049,583,040/492,667,422
  6. Step 6: Final answer
    x = 962,952,263.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.