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Finding the Third Proportional to 555,724 and 841,390

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Solution

The third proportional to 555,724 and 841,390 is: 1,273,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,724 : 841,390 = 841,390 : x
  2. Step 2: Convert to fraction form
    555,724/841,390 = 841,390/x
  3. Step 3: Cross multiply
    555,724x = 841,390 × 841,390
  4. Step 4: Simplify right side
    555,724x = 707,937,132,100
  5. Step 5: Solve for x
    x = 707,937,132,100/555,724
  6. Step 6: Final answer
    x = 1,273,900.59

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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.