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Finding the Third Proportional to 448,458 and 604,167.75

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Solution

The third proportional to 448,458 and 604,167.75 is: 813,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,458 : 604,167.75 = 604,167.75 : x
  2. Step 2: Convert to fraction form
    448,458/604,167.75 = 604,167.75/x
  3. Step 3: Cross multiply
    448,458x = 604,167.75 × 604,167.75
  4. Step 4: Simplify right side
    448,458x = 365,018,670,140.06
  5. Step 5: Solve for x
    x = 365,018,670,140.06/448,458
  6. Step 6: Final answer
    x = 813,941.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.