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Finding the Third Proportional to 275,203.88 and 387,547.50

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Solution

The third proportional to 275,203.88 and 387,547.50 is: 545,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,203.88 : 387,547.50 = 387,547.50 : x
  2. Step 2: Convert to fraction form
    275,203.88/387,547.50 = 387,547.50/x
  3. Step 3: Cross multiply
    275,203.88x = 387,547.50 × 387,547.50
  4. Step 4: Simplify right side
    275,203.88x = 150,193,064,756.25
  5. Step 5: Solve for x
    x = 150,193,064,756.25/275,203.88
  6. Step 6: Final answer
    x = 545,752.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.