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Finding the Third Proportional to 287,617.50 and 545,710.50

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Solution

The third proportional to 287,617.50 and 545,710.50 is: 1,035,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,617.50 : 545,710.50 = 545,710.50 : x
  2. Step 2: Convert to fraction form
    287,617.50/545,710.50 = 545,710.50/x
  3. Step 3: Cross multiply
    287,617.50x = 545,710.50 × 545,710.50
  4. Step 4: Simplify right side
    287,617.50x = 297,799,949,810.25
  5. Step 5: Solve for x
    x = 297,799,949,810.25/287,617.50
  6. Step 6: Final answer
    x = 1,035,402.75

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.