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Finding the Third Proportional to 315,391 and 471,780

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Solution

The third proportional to 315,391 and 471,780 is: 705,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,391 : 471,780 = 471,780 : x
  2. Step 2: Convert to fraction form
    315,391/471,780 = 471,780/x
  3. Step 3: Cross multiply
    315,391x = 471,780 × 471,780
  4. Step 4: Simplify right side
    315,391x = 222,576,368,400
  5. Step 5: Solve for x
    x = 222,576,368,400/315,391
  6. Step 6: Final answer
    x = 705,715.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.