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Finding the Third Proportional to 319,365 and 697,509

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Solution

The third proportional to 319,365 and 697,509 is: 1,523,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,365 : 697,509 = 697,509 : x
  2. Step 2: Convert to fraction form
    319,365/697,509 = 697,509/x
  3. Step 3: Cross multiply
    319,365x = 697,509 × 697,509
  4. Step 4: Simplify right side
    319,365x = 486,518,805,081
  5. Step 5: Solve for x
    x = 486,518,805,081/319,365
  6. Step 6: Final answer
    x = 1,523,394.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.