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Finding the Third Proportional to 692,269,056 and 1,036,247,040

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Solution

The third proportional to 692,269,056 and 1,036,247,040 is: 1,551,142,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,269,056 : 1,036,247,040 = 1,036,247,040 : x
  2. Step 2: Convert to fraction form
    692,269,056/1,036,247,040 = 1,036,247,040/x
  3. Step 3: Cross multiply
    692,269,056x = 1,036,247,040 × 1,036,247,040
  4. Step 4: Simplify right side
    692,269,056x = 1,073,807,927,908,761,600
  5. Step 5: Solve for x
    x = 1,073,807,927,908,761,600/692,269,056
  6. Step 6: Final answer
    x = 1,551,142,462.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.