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Finding the Third Proportional to 377,784 and 570,315

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Solution

The third proportional to 377,784 and 570,315 is: 860,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,784 : 570,315 = 570,315 : x
  2. Step 2: Convert to fraction form
    377,784/570,315 = 570,315/x
  3. Step 3: Cross multiply
    377,784x = 570,315 × 570,315
  4. Step 4: Simplify right side
    377,784x = 325,259,199,225
  5. Step 5: Solve for x
    x = 325,259,199,225/377,784
  6. Step 6: Final answer
    x = 860,966.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.