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Finding the Third Proportional to 145,224 and 314,572

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Solution

The third proportional to 145,224 and 314,572 is: 681,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,224 : 314,572 = 314,572 : x
  2. Step 2: Convert to fraction form
    145,224/314,572 = 314,572/x
  3. Step 3: Cross multiply
    145,224x = 314,572 × 314,572
  4. Step 4: Simplify right side
    145,224x = 98,955,543,184
  5. Step 5: Solve for x
    x = 98,955,543,184/145,224
  6. Step 6: Final answer
    x = 681,399.38

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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.