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Finding the Third Proportional to 145,522 and 305,732

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Solution

The third proportional to 145,522 and 305,732 is: 642,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,522 : 305,732 = 305,732 : x
  2. Step 2: Convert to fraction form
    145,522/305,732 = 305,732/x
  3. Step 3: Cross multiply
    145,522x = 305,732 × 305,732
  4. Step 4: Simplify right side
    145,522x = 93,472,055,824
  5. Step 5: Solve for x
    x = 93,472,055,824/145,522
  6. Step 6: Final answer
    x = 642,322.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.