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Finding the Third Proportional to 145,904 and 314,128

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Solution

The third proportional to 145,904 and 314,128 is: 676,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,904 : 314,128 = 314,128 : x
  2. Step 2: Convert to fraction form
    145,904/314,128 = 314,128/x
  3. Step 3: Cross multiply
    145,904x = 314,128 × 314,128
  4. Step 4: Simplify right side
    145,904x = 98,676,400,384
  5. Step 5: Solve for x
    x = 98,676,400,384/145,904
  6. Step 6: Final answer
    x = 676,310.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.