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Finding the Third Proportional to 385,165.50 and 563,485.50

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Solution

The third proportional to 385,165.50 and 563,485.50 is: 824,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,165.50 : 563,485.50 = 563,485.50 : x
  2. Step 2: Convert to fraction form
    385,165.50/563,485.50 = 563,485.50/x
  3. Step 3: Cross multiply
    385,165.50x = 563,485.50 × 563,485.50
  4. Step 4: Simplify right side
    385,165.50x = 317,515,908,710.25
  5. Step 5: Solve for x
    x = 317,515,908,710.25/385,165.50
  6. Step 6: Final answer
    x = 824,362.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.