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Finding the Third Proportional to 265,455 and 577,567.50

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Solution

The third proportional to 265,455 and 577,567.50 is: 1,256,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,455 : 577,567.50 = 577,567.50 : x
  2. Step 2: Convert to fraction form
    265,455/577,567.50 = 577,567.50/x
  3. Step 3: Cross multiply
    265,455x = 577,567.50 × 577,567.50
  4. Step 4: Simplify right side
    265,455x = 333,584,217,056.25
  5. Step 5: Solve for x
    x = 333,584,217,056.25/265,455
  6. Step 6: Final answer
    x = 1,256,650.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.