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Finding the Third Proportional to 142,643 and 305,527

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Solution

The third proportional to 142,643 and 305,527 is: 654,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,643 : 305,527 = 305,527 : x
  2. Step 2: Convert to fraction form
    142,643/305,527 = 305,527/x
  3. Step 3: Cross multiply
    142,643x = 305,527 × 305,527
  4. Step 4: Simplify right side
    142,643x = 93,346,747,729
  5. Step 5: Solve for x
    x = 93,346,747,729/142,643
  6. Step 6: Final answer
    x = 654,408.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.