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Finding the Third Proportional to 320,782.78 and 499,577.63

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Solution

The third proportional to 320,782.78 and 499,577.63 is: 778,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,782.78 : 499,577.63 = 499,577.63 : x
  2. Step 2: Convert to fraction form
    320,782.78/499,577.63 = 499,577.63/x
  3. Step 3: Cross multiply
    320,782.78x = 499,577.63 × 499,577.63
  4. Step 4: Simplify right side
    320,782.78x = 249,577,803,400.64
  5. Step 5: Solve for x
    x = 249,577,803,400.64/320,782.78
  6. Step 6: Final answer
    x = 778,027.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.