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Finding the Third Proportional to 455,677.50 and 690,312

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Solution

The third proportional to 455,677.50 and 690,312 is: 1,045,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,677.50 : 690,312 = 690,312 : x
  2. Step 2: Convert to fraction form
    455,677.50/690,312 = 690,312/x
  3. Step 3: Cross multiply
    455,677.50x = 690,312 × 690,312
  4. Step 4: Simplify right side
    455,677.50x = 476,530,657,344
  5. Step 5: Solve for x
    x = 476,530,657,344/455,677.50
  6. Step 6: Final answer
    x = 1,045,762.97

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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.