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Finding the Third Proportional to 242,314.50 and 528,691.50

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Solution

The third proportional to 242,314.50 and 528,691.50 is: 1,153,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,314.50 : 528,691.50 = 528,691.50 : x
  2. Step 2: Convert to fraction form
    242,314.50/528,691.50 = 528,691.50/x
  3. Step 3: Cross multiply
    242,314.50x = 528,691.50 × 528,691.50
  4. Step 4: Simplify right side
    242,314.50x = 279,514,702,172.25
  5. Step 5: Solve for x
    x = 279,514,702,172.25/242,314.50
  6. Step 6: Final answer
    x = 1,153,520.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.