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Finding the Third Proportional to 253,229.10 and 386,275.08

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Solution

The third proportional to 253,229.10 and 386,275.08 is: 589,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229.10 : 386,275.08 = 386,275.08 : x
  2. Step 2: Convert to fraction form
    253,229.10/386,275.08 = 386,275.08/x
  3. Step 3: Cross multiply
    253,229.10x = 386,275.08 × 386,275.08
  4. Step 4: Simplify right side
    253,229.10x = 149,208,435,980.48
  5. Step 5: Solve for x
    x = 149,208,435,980.48/253,229.10
  6. Step 6: Final answer
    x = 589,223.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.