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Finding the Third Proportional to 145,876 and 314,072

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Solution

The third proportional to 145,876 and 314,072 is: 676,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,876 : 314,072 = 314,072 : x
  2. Step 2: Convert to fraction form
    145,876/314,072 = 314,072/x
  3. Step 3: Cross multiply
    145,876x = 314,072 × 314,072
  4. Step 4: Simplify right side
    145,876x = 98,641,221,184
  5. Step 5: Solve for x
    x = 98,641,221,184/145,876
  6. Step 6: Final answer
    x = 676,199.11

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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.