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Finding the Third Proportional to 318,117 and 681,772.13

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Solution

The third proportional to 318,117 and 681,772.13 is: 1,461,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,117 : 681,772.13 = 681,772.13 : x
  2. Step 2: Convert to fraction form
    318,117/681,772.13 = 681,772.13/x
  3. Step 3: Cross multiply
    318,117x = 681,772.13 × 681,772.13
  4. Step 4: Simplify right side
    318,117x = 464,813,230,427.02
  5. Step 5: Solve for x
    x = 464,813,230,427.02/318,117
  6. Step 6: Final answer
    x = 1,461,139.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.