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Finding the Third Proportional to 478,602 and 740,983

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Solution

The third proportional to 478,602 and 740,983 is: 1,147,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,602 : 740,983 = 740,983 : x
  2. Step 2: Convert to fraction form
    478,602/740,983 = 740,983/x
  3. Step 3: Cross multiply
    478,602x = 740,983 × 740,983
  4. Step 4: Simplify right side
    478,602x = 549,055,806,289
  5. Step 5: Solve for x
    x = 549,055,806,289/478,602
  6. Step 6: Final answer
    x = 1,147,207.50

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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.