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Finding the Third Proportional to 145,220 and 314,567

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Solution

The third proportional to 145,220 and 314,567 is: 681,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220 : 314,567 = 314,567 : x
  2. Step 2: Convert to fraction form
    145,220/314,567 = 314,567/x
  3. Step 3: Cross multiply
    145,220x = 314,567 × 314,567
  4. Step 4: Simplify right side
    145,220x = 98,952,397,489
  5. Step 5: Solve for x
    x = 98,952,397,489/145,220
  6. Step 6: Final answer
    x = 681,396.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.