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Finding the Third Proportional to 357,840 and 782,928

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Solution

The third proportional to 357,840 and 782,928 is: 1,712,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,840 : 782,928 = 782,928 : x
  2. Step 2: Convert to fraction form
    357,840/782,928 = 782,928/x
  3. Step 3: Cross multiply
    357,840x = 782,928 × 782,928
  4. Step 4: Simplify right side
    357,840x = 612,976,253,184
  5. Step 5: Solve for x
    x = 612,976,253,184/357,840
  6. Step 6: Final answer
    x = 1,712,989.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.