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Finding the Third Proportional to 142,960 and 305,553

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Solution

The third proportional to 142,960 and 305,553 is: 653,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,960 : 305,553 = 305,553 : x
  2. Step 2: Convert to fraction form
    142,960/305,553 = 305,553/x
  3. Step 3: Cross multiply
    142,960x = 305,553 × 305,553
  4. Step 4: Simplify right side
    142,960x = 93,362,635,809
  5. Step 5: Solve for x
    x = 93,362,635,809/142,960
  6. Step 6: Final answer
    x = 653,068.24

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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.