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Finding the Third Proportional to 180,810 and 390,780

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Solution

The third proportional to 180,810 and 390,780 is: 844,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810 : 390,780 = 390,780 : x
  2. Step 2: Convert to fraction form
    180,810/390,780 = 390,780/x
  3. Step 3: Cross multiply
    180,810x = 390,780 × 390,780
  4. Step 4: Simplify right side
    180,810x = 152,709,008,400
  5. Step 5: Solve for x
    x = 152,709,008,400/180,810
  6. Step 6: Final answer
    x = 844,582.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.