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Finding the Third Proportional to 757,413 and 1,643,580

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Solution

The third proportional to 757,413 and 1,643,580 is: 3,566,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,413 : 1,643,580 = 1,643,580 : x
  2. Step 2: Convert to fraction form
    757,413/1,643,580 = 1,643,580/x
  3. Step 3: Cross multiply
    757,413x = 1,643,580 × 1,643,580
  4. Step 4: Simplify right side
    757,413x = 2,701,355,216,400
  5. Step 5: Solve for x
    x = 2,701,355,216,400/757,413
  6. Step 6: Final answer
    x = 3,566,555.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.