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Finding the Third Proportional to 301,776.75 and 455,740.13

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Solution

The third proportional to 301,776.75 and 455,740.13 is: 688,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,776.75 : 455,740.13 = 455,740.13 : x
  2. Step 2: Convert to fraction form
    301,776.75/455,740.13 = 455,740.13/x
  3. Step 3: Cross multiply
    301,776.75x = 455,740.13 × 455,740.13
  4. Step 4: Simplify right side
    301,776.75x = 207,699,061,535.02
  5. Step 5: Solve for x
    x = 207,699,061,535.02/301,776.75
  6. Step 6: Final answer
    x = 688,254.02

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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.