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Finding the Third Proportional to 357,840 and 553,392

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Solution

The third proportional to 357,840 and 553,392 is: 855,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,840 : 553,392 = 553,392 : x
  2. Step 2: Convert to fraction form
    357,840/553,392 = 553,392/x
  3. Step 3: Cross multiply
    357,840x = 553,392 × 553,392
  4. Step 4: Simplify right side
    357,840x = 306,242,705,664
  5. Step 5: Solve for x
    x = 306,242,705,664/357,840
  6. Step 6: Final answer
    x = 855,809.04

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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.