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Finding the Third Proportional to 142,710 and 219,432

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Solution

The third proportional to 142,710 and 219,432 is: 337,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,710 : 219,432 = 219,432 : x
  2. Step 2: Convert to fraction form
    142,710/219,432 = 219,432/x
  3. Step 3: Cross multiply
    142,710x = 219,432 × 219,432
  4. Step 4: Simplify right side
    142,710x = 48,150,402,624
  5. Step 5: Solve for x
    x = 48,150,402,624/142,710
  6. Step 6: Final answer
    x = 337,400.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.