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Finding the Third Proportional to 319,250 and 698,332

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Solution

The third proportional to 319,250 and 698,332 is: 1,527,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,250 : 698,332 = 698,332 : x
  2. Step 2: Convert to fraction form
    319,250/698,332 = 698,332/x
  3. Step 3: Cross multiply
    319,250x = 698,332 × 698,332
  4. Step 4: Simplify right side
    319,250x = 487,667,582,224
  5. Step 5: Solve for x
    x = 487,667,582,224/319,250
  6. Step 6: Final answer
    x = 1,527,541.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.