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Finding the Third Proportional to 297,356.63 and 478,789.88

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Solution

The third proportional to 297,356.63 and 478,789.88 is: 770,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,356.63 : 478,789.88 = 478,789.88 : x
  2. Step 2: Convert to fraction form
    297,356.63/478,789.88 = 478,789.88/x
  3. Step 3: Cross multiply
    297,356.63x = 478,789.88 × 478,789.88
  4. Step 4: Simplify right side
    297,356.63x = 229,239,744,402.52
  5. Step 5: Solve for x
    x = 229,239,744,402.52/297,356.63
  6. Step 6: Final answer
    x = 770,925.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.