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Finding the Third Proportional to 478,598.63 and 740,977.88

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Solution

The third proportional to 478,598.63 and 740,977.88 is: 1,147,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,598.63 : 740,977.88 = 740,977.88 : x
  2. Step 2: Convert to fraction form
    478,598.63/740,977.88 = 740,977.88/x
  3. Step 3: Cross multiply
    478,598.63x = 740,977.88 × 740,977.88
  4. Step 4: Simplify right side
    478,598.63x = 549,048,211,239.52
  5. Step 5: Solve for x
    x = 549,048,211,239.52/478,598.63
  6. Step 6: Final answer
    x = 1,147,199.73

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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.