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Finding the Third Proportional to 145,922 and 312,580

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Solution

The third proportional to 145,922 and 312,580 is: 669,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,922 : 312,580 = 312,580 : x
  2. Step 2: Convert to fraction form
    145,922/312,580 = 312,580/x
  3. Step 3: Cross multiply
    145,922x = 312,580 × 312,580
  4. Step 4: Simplify right side
    145,922x = 97,706,256,400
  5. Step 5: Solve for x
    x = 97,706,256,400/145,922
  6. Step 6: Final answer
    x = 669,578.65

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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.