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Finding the Third Proportional to 145,566 and 314,118

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Solution

The third proportional to 145,566 and 314,118 is: 677,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,566 : 314,118 = 314,118 : x
  2. Step 2: Convert to fraction form
    145,566/314,118 = 314,118/x
  3. Step 3: Cross multiply
    145,566x = 314,118 × 314,118
  4. Step 4: Simplify right side
    145,566x = 98,670,117,924
  5. Step 5: Solve for x
    x = 98,670,117,924/145,566
  6. Step 6: Final answer
    x = 677,837.67

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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.