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Finding the Third Proportional to 778,453 and 1,710,265

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Solution

The third proportional to 778,453 and 1,710,265 is: 3,757,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,453 : 1,710,265 = 1,710,265 : x
  2. Step 2: Convert to fraction form
    778,453/1,710,265 = 1,710,265/x
  3. Step 3: Cross multiply
    778,453x = 1,710,265 × 1,710,265
  4. Step 4: Simplify right side
    778,453x = 2,925,006,370,225
  5. Step 5: Solve for x
    x = 2,925,006,370,225/778,453
  6. Step 6: Final answer
    x = 3,757,460.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.