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Finding the Third Proportional to 315,531 and 692,298

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Solution

The third proportional to 315,531 and 692,298 is: 1,518,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,531 : 692,298 = 692,298 : x
  2. Step 2: Convert to fraction form
    315,531/692,298 = 692,298/x
  3. Step 3: Cross multiply
    315,531x = 692,298 × 692,298
  4. Step 4: Simplify right side
    315,531x = 479,276,520,804
  5. Step 5: Solve for x
    x = 479,276,520,804/315,531
  6. Step 6: Final answer
    x = 1,518,952.24

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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.