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Finding the Third Proportional to 355,580 and 777,580

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Solution

The third proportional to 355,580 and 777,580 is: 1,700,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,580 : 777,580 = 777,580 : x
  2. Step 2: Convert to fraction form
    355,580/777,580 = 777,580/x
  3. Step 3: Cross multiply
    355,580x = 777,580 × 777,580
  4. Step 4: Simplify right side
    355,580x = 604,630,656,400
  5. Step 5: Solve for x
    x = 604,630,656,400/355,580
  6. Step 6: Final answer
    x = 1,700,406.82

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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.