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Finding the Third Proportional to 319,632 and 710,208

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Solution

The third proportional to 319,632 and 710,208 is: 1,578,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,632 : 710,208 = 710,208 : x
  2. Step 2: Convert to fraction form
    319,632/710,208 = 710,208/x
  3. Step 3: Cross multiply
    319,632x = 710,208 × 710,208
  4. Step 4: Simplify right side
    319,632x = 504,395,403,264
  5. Step 5: Solve for x
    x = 504,395,403,264/319,632
  6. Step 6: Final answer
    x = 1,578,050.39

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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.