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Finding the Third Proportional to 374,117 and 808,138

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Solution

The third proportional to 374,117 and 808,138 is: 1,745,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,117 : 808,138 = 808,138 : x
  2. Step 2: Convert to fraction form
    374,117/808,138 = 808,138/x
  3. Step 3: Cross multiply
    374,117x = 808,138 × 808,138
  4. Step 4: Simplify right side
    374,117x = 653,087,027,044
  5. Step 5: Solve for x
    x = 653,087,027,044/374,117
  6. Step 6: Final answer
    x = 1,745,675.89

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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.