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Finding the Third Proportional to 319,598 and 710,138

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Solution

The third proportional to 319,598 and 710,138 is: 1,577,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,598 : 710,138 = 710,138 : x
  2. Step 2: Convert to fraction form
    319,598/710,138 = 710,138/x
  3. Step 3: Cross multiply
    319,598x = 710,138 × 710,138
  4. Step 4: Simplify right side
    319,598x = 504,295,979,044
  5. Step 5: Solve for x
    x = 504,295,979,044/319,598
  6. Step 6: Final answer
    x = 1,577,907.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.