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Finding the Third Proportional to 377,054 and 780,352

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Solution

The third proportional to 377,054 and 780,352 is: 1,615,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,054 : 780,352 = 780,352 : x
  2. Step 2: Convert to fraction form
    377,054/780,352 = 780,352/x
  3. Step 3: Cross multiply
    377,054x = 780,352 × 780,352
  4. Step 4: Simplify right side
    377,054x = 608,949,243,904
  5. Step 5: Solve for x
    x = 608,949,243,904/377,054
  6. Step 6: Final answer
    x = 1,615,018.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.