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Finding the Third Proportional to 813,441,946 and 1,145,505,509

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Solution

The third proportional to 813,441,946 and 1,145,505,509 is: 1,613,124,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,441,946 : 1,145,505,509 = 1,145,505,509 : x
  2. Step 2: Convert to fraction form
    813,441,946/1,145,505,509 = 1,145,505,509/x
  3. Step 3: Cross multiply
    813,441,946x = 1,145,505,509 × 1,145,505,509
  4. Step 4: Simplify right side
    813,441,946x = 1,312,182,871,149,349,120
  5. Step 5: Solve for x
    x = 1,312,182,871,149,349,120/813,441,946
  6. Step 6: Final answer
    x = 1,613,124,178.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.