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Finding the Third Proportional to 492,660,656 and 688,769,778

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Solution

The third proportional to 492,660,656 and 688,769,778 is: 962,942,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,660,656 : 688,769,778 = 688,769,778 : x
  2. Step 2: Convert to fraction form
    492,660,656/688,769,778 = 688,769,778/x
  3. Step 3: Cross multiply
    492,660,656x = 688,769,778 × 688,769,778
  4. Step 4: Simplify right side
    492,660,656x = 474,403,807,086,169,280
  5. Step 5: Solve for x
    x = 474,403,807,086,169,280/492,660,656
  6. Step 6: Final answer
    x = 962,942,344.41

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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.