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Finding the Third Proportional to 610,425 and 933,781.50

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Solution

The third proportional to 610,425 and 933,781.50 is: 1,428,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,425 : 933,781.50 = 933,781.50 : x
  2. Step 2: Convert to fraction form
    610,425/933,781.50 = 933,781.50/x
  3. Step 3: Cross multiply
    610,425x = 933,781.50 × 933,781.50
  4. Step 4: Simplify right side
    610,425x = 871,947,889,742.25
  5. Step 5: Solve for x
    x = 871,947,889,742.25/610,425
  6. Step 6: Final answer
    x = 1,428,427.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.