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Finding the Third Proportional to 142,905 and 319,641

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Solution

The third proportional to 142,905 and 319,641 is: 714,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,905 : 319,641 = 319,641 : x
  2. Step 2: Convert to fraction form
    142,905/319,641 = 319,641/x
  3. Step 3: Cross multiply
    142,905x = 319,641 × 319,641
  4. Step 4: Simplify right side
    142,905x = 102,170,368,881
  5. Step 5: Solve for x
    x = 102,170,368,881/142,905
  6. Step 6: Final answer
    x = 714,953.07

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.