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Finding the Third Proportional to 142,913 and 319,657

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Solution

The third proportional to 142,913 and 319,657 is: 714,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,913 : 319,657 = 319,657 : x
  2. Step 2: Convert to fraction form
    142,913/319,657 = 319,657/x
  3. Step 3: Cross multiply
    142,913x = 319,657 × 319,657
  4. Step 4: Simplify right side
    142,913x = 102,180,597,649
  5. Step 5: Solve for x
    x = 102,180,597,649/142,913
  6. Step 6: Final answer
    x = 714,984.62

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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.