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Finding the Third Proportional to 319,378 and 695,455

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Solution

The third proportional to 319,378 and 695,455 is: 1,514,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,378 : 695,455 = 695,455 : x
  2. Step 2: Convert to fraction form
    319,378/695,455 = 695,455/x
  3. Step 3: Cross multiply
    319,378x = 695,455 × 695,455
  4. Step 4: Simplify right side
    319,378x = 483,657,657,025
  5. Step 5: Solve for x
    x = 483,657,657,025/319,378
  6. Step 6: Final answer
    x = 1,514,373.74

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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.