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Finding the Third Proportional to 357,092 and 553,377

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Solution

The third proportional to 357,092 and 553,377 is: 857,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,092 : 553,377 = 553,377 : x
  2. Step 2: Convert to fraction form
    357,092/553,377 = 553,377/x
  3. Step 3: Cross multiply
    357,092x = 553,377 × 553,377
  4. Step 4: Simplify right side
    357,092x = 306,226,104,129
  5. Step 5: Solve for x
    x = 306,226,104,129/357,092
  6. Step 6: Final answer
    x = 857,555.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.