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Finding the Third Proportional to 611,390 and 898,293

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Solution

The third proportional to 611,390 and 898,293 is: 1,319,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,390 : 898,293 = 898,293 : x
  2. Step 2: Convert to fraction form
    611,390/898,293 = 898,293/x
  3. Step 3: Cross multiply
    611,390x = 898,293 × 898,293
  4. Step 4: Simplify right side
    611,390x = 806,930,313,849
  5. Step 5: Solve for x
    x = 806,930,313,849/611,390
  6. Step 6: Final answer
    x = 1,319,829.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.