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Finding the Third Proportional to 315,535 and 692,306

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Solution

The third proportional to 315,535 and 692,306 is: 1,518,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,535 : 692,306 = 692,306 : x
  2. Step 2: Convert to fraction form
    315,535/692,306 = 692,306/x
  3. Step 3: Cross multiply
    315,535x = 692,306 × 692,306
  4. Step 4: Simplify right side
    315,535x = 479,287,597,636
  5. Step 5: Solve for x
    x = 479,287,597,636/315,535
  6. Step 6: Final answer
    x = 1,518,968.09

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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.