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Finding the Third Proportional to 555,384 and 830,688

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Solution

The third proportional to 555,384 and 830,688 is: 1,242,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,384 : 830,688 = 830,688 : x
  2. Step 2: Convert to fraction form
    555,384/830,688 = 830,688/x
  3. Step 3: Cross multiply
    555,384x = 830,688 × 830,688
  4. Step 4: Simplify right side
    555,384x = 690,042,553,344
  5. Step 5: Solve for x
    x = 690,042,553,344/555,384
  6. Step 6: Final answer
    x = 1,242,460.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.