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Finding the Third Proportional to 287,068.50 and 670,509

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Solution

The third proportional to 287,068.50 and 670,509 is: 1,566,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,068.50 : 670,509 = 670,509 : x
  2. Step 2: Convert to fraction form
    287,068.50/670,509 = 670,509/x
  3. Step 3: Cross multiply
    287,068.50x = 670,509 × 670,509
  4. Step 4: Simplify right side
    287,068.50x = 449,582,319,081
  5. Step 5: Solve for x
    x = 449,582,319,081/287,068.50
  6. Step 6: Final answer
    x = 1,566,115.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.