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Finding the Third Proportional to 531,510.50 and 816,948.50

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Solution

The third proportional to 531,510.50 and 816,948.50 is: 1,255,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,510.50 : 816,948.50 = 816,948.50 : x
  2. Step 2: Convert to fraction form
    531,510.50/816,948.50 = 816,948.50/x
  3. Step 3: Cross multiply
    531,510.50x = 816,948.50 × 816,948.50
  4. Step 4: Simplify right side
    531,510.50x = 667,404,851,652.25
  5. Step 5: Solve for x
    x = 667,404,851,652.25/531,510.50
  6. Step 6: Final answer
    x = 1,255,675.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.