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Finding the Third Proportional to 245,355 and 529,378.50

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Solution

The third proportional to 245,355 and 529,378.50 is: 1,142,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,355 : 529,378.50 = 529,378.50 : x
  2. Step 2: Convert to fraction form
    245,355/529,378.50 = 529,378.50/x
  3. Step 3: Cross multiply
    245,355x = 529,378.50 × 529,378.50
  4. Step 4: Simplify right side
    245,355x = 280,241,596,262.25
  5. Step 5: Solve for x
    x = 280,241,596,262.25/245,355
  6. Step 6: Final answer
    x = 1,142,188.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.