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Finding the Third Proportional to 374,112 and 808,128

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Solution

The third proportional to 374,112 and 808,128 is: 1,745,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,112 : 808,128 = 808,128 : x
  2. Step 2: Convert to fraction form
    374,112/808,128 = 808,128/x
  3. Step 3: Cross multiply
    374,112x = 808,128 × 808,128
  4. Step 4: Simplify right side
    374,112x = 653,070,864,384
  5. Step 5: Solve for x
    x = 653,070,864,384/374,112
  6. Step 6: Final answer
    x = 1,745,656.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.