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Finding the Third Proportional to 301,780.50 and 455,748

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Solution

The third proportional to 301,780.50 and 455,748 is: 688,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,780.50 : 455,748 = 455,748 : x
  2. Step 2: Convert to fraction form
    301,780.50/455,748 = 455,748/x
  3. Step 3: Cross multiply
    301,780.50x = 455,748 × 455,748
  4. Step 4: Simplify right side
    301,780.50x = 207,706,239,504
  5. Step 5: Solve for x
    x = 207,706,239,504/301,780.50
  6. Step 6: Final answer
    x = 688,269.25

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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.