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Finding the Third Proportional to 576,294 and 872,397

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Solution

The third proportional to 576,294 and 872,397 is: 1,320,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,294 : 872,397 = 872,397 : x
  2. Step 2: Convert to fraction form
    576,294/872,397 = 872,397/x
  3. Step 3: Cross multiply
    576,294x = 872,397 × 872,397
  4. Step 4: Simplify right side
    576,294x = 761,076,525,609
  5. Step 5: Solve for x
    x = 761,076,525,609/576,294
  6. Step 6: Final answer
    x = 1,320,639.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.