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Finding the Third Proportional to 462,344 and 1,009,360

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Solution

The third proportional to 462,344 and 1,009,360 is: 2,203,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,344 : 1,009,360 = 1,009,360 : x
  2. Step 2: Convert to fraction form
    462,344/1,009,360 = 1,009,360/x
  3. Step 3: Cross multiply
    462,344x = 1,009,360 × 1,009,360
  4. Step 4: Simplify right side
    462,344x = 1,018,807,609,600
  5. Step 5: Solve for x
    x = 1,018,807,609,600/462,344
  6. Step 6: Final answer
    x = 2,203,570.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.