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Finding the Third Proportional to 486,390 and 692,871

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Solution

The third proportional to 486,390 and 692,871 is: 987,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,390 : 692,871 = 692,871 : x
  2. Step 2: Convert to fraction form
    486,390/692,871 = 692,871/x
  3. Step 3: Cross multiply
    486,390x = 692,871 × 692,871
  4. Step 4: Simplify right side
    486,390x = 480,070,222,641
  5. Step 5: Solve for x
    x = 480,070,222,641/486,390
  6. Step 6: Final answer
    x = 987,006.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.