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Finding the Third Proportional to 388,402.25 and 830,773

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Solution

The third proportional to 388,402.25 and 830,773 is: 1,776,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,402.25 : 830,773 = 830,773 : x
  2. Step 2: Convert to fraction form
    388,402.25/830,773 = 830,773/x
  3. Step 3: Cross multiply
    388,402.25x = 830,773 × 830,773
  4. Step 4: Simplify right side
    388,402.25x = 690,183,777,529
  5. Step 5: Solve for x
    x = 690,183,777,529/388,402.25
  6. Step 6: Final answer
    x = 1,776,981.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.