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Finding the Third Proportional to 492,660,658 and 688,769,781

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Solution

The third proportional to 492,660,658 and 688,769,781 is: 962,942,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,660,658 : 688,769,781 = 688,769,781 : x
  2. Step 2: Convert to fraction form
    492,660,658/688,769,781 = 688,769,781/x
  3. Step 3: Cross multiply
    492,660,658x = 688,769,781 × 688,769,781
  4. Step 4: Simplify right side
    492,660,658x = 474,403,811,218,787,968
  5. Step 5: Solve for x
    x = 474,403,811,218,787,968/492,660,658
  6. Step 6: Final answer
    x = 962,942,348.89

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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.