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Finding the Third Proportional to 301,740 and 455,686.50

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Solution

The third proportional to 301,740 and 455,686.50 is: 688,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,740 : 455,686.50 = 455,686.50 : x
  2. Step 2: Convert to fraction form
    301,740/455,686.50 = 455,686.50/x
  3. Step 3: Cross multiply
    301,740x = 455,686.50 × 455,686.50
  4. Step 4: Simplify right side
    301,740x = 207,650,186,282.25
  5. Step 5: Solve for x
    x = 207,650,186,282.25/301,740
  6. Step 6: Final answer
    x = 688,175.87

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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.