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Finding the Third Proportional to 243,729 and 367,294.50

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Solution

The third proportional to 243,729 and 367,294.50 is: 553,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,729 : 367,294.50 = 367,294.50 : x
  2. Step 2: Convert to fraction form
    243,729/367,294.50 = 367,294.50/x
  3. Step 3: Cross multiply
    243,729x = 367,294.50 × 367,294.50
  4. Step 4: Simplify right side
    243,729x = 134,905,249,730.25
  5. Step 5: Solve for x
    x = 134,905,249,730.25/243,729
  6. Step 6: Final answer
    x = 553,505.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.