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Finding the Third Proportional to 430.88 and 750.88

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Solution

The third proportional to 430.88 and 750.88 is: 1,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 750.88 = 750.88 : x
  2. Step 2: Convert to fraction form
    430.88/750.88 = 750.88/x
  3. Step 3: Cross multiply
    430.88x = 750.88 × 750.88
  4. Step 4: Simplify right side
    430.88x = 563,813.27
  5. Step 5: Solve for x
    x = 563,813.27/430.88
  6. Step 6: Final answer
    x = 1,308.53

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.