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Finding the Third Proportional to 336,078 and 532,417.50

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Solution

The third proportional to 336,078 and 532,417.50 is: 843,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,078 : 532,417.50 = 532,417.50 : x
  2. Step 2: Convert to fraction form
    336,078/532,417.50 = 532,417.50/x
  3. Step 3: Cross multiply
    336,078x = 532,417.50 × 532,417.50
  4. Step 4: Simplify right side
    336,078x = 283,468,394,306.25
  5. Step 5: Solve for x
    x = 283,468,394,306.25/336,078
  6. Step 6: Final answer
    x = 843,460.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.