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Finding the Third Proportional to 253,907.16 and 385,847.30

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Solution

The third proportional to 253,907.16 and 385,847.30 is: 586,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,907.16 : 385,847.30 = 385,847.30 : x
  2. Step 2: Convert to fraction form
    253,907.16/385,847.30 = 385,847.30/x
  3. Step 3: Cross multiply
    253,907.16x = 385,847.30 × 385,847.30
  4. Step 4: Simplify right side
    253,907.16x = 148,878,136,505.74
  5. Step 5: Solve for x
    x = 148,878,136,505.74/253,907.16
  6. Step 6: Final answer
    x = 586,348.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.