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Finding the Third Proportional to 145,761 and 318,522

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Solution

The third proportional to 145,761 and 318,522 is: 696,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,761 : 318,522 = 318,522 : x
  2. Step 2: Convert to fraction form
    145,761/318,522 = 318,522/x
  3. Step 3: Cross multiply
    145,761x = 318,522 × 318,522
  4. Step 4: Simplify right side
    145,761x = 101,456,264,484
  5. Step 5: Solve for x
    x = 101,456,264,484/145,761
  6. Step 6: Final answer
    x = 696,045.34

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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.