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Finding the Third Proportional to 368,127 and 780,743

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Solution

The third proportional to 368,127 and 780,743 is: 1,655,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,127 : 780,743 = 780,743 : x
  2. Step 2: Convert to fraction form
    368,127/780,743 = 780,743/x
  3. Step 3: Cross multiply
    368,127x = 780,743 × 780,743
  4. Step 4: Simplify right side
    368,127x = 609,559,632,049
  5. Step 5: Solve for x
    x = 609,559,632,049/368,127
  6. Step 6: Final answer
    x = 1,655,840.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.