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Finding the Third Proportional to 430,915.31 and 652,372.13

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Solution

The third proportional to 430,915.31 and 652,372.13 is: 987,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,915.31 : 652,372.13 = 652,372.13 : x
  2. Step 2: Convert to fraction form
    430,915.31/652,372.13 = 652,372.13/x
  3. Step 3: Cross multiply
    430,915.31x = 652,372.13 × 652,372.13
  4. Step 4: Simplify right side
    430,915.31x = 425,589,389,477.02
  5. Step 5: Solve for x
    x = 425,589,389,477.02/430,915.31
  6. Step 6: Final answer
    x = 987,640.44

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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.