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Finding the Third Proportional to 40,316 and 86,574

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Solution

The third proportional to 40,316 and 86,574 is: 185,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316 : 86,574 = 86,574 : x
  2. Step 2: Convert to fraction form
    40,316/86,574 = 86,574/x
  3. Step 3: Cross multiply
    40,316x = 86,574 × 86,574
  4. Step 4: Simplify right side
    40,316x = 7,495,057,476
  5. Step 5: Solve for x
    x = 7,495,057,476/40,316
  6. Step 6: Final answer
    x = 185,907.77

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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.