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Finding the Third Proportional to 287,681.06 and 431,521.88

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Solution

The third proportional to 287,681.06 and 431,521.88 is: 647,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,681.06 : 431,521.88 = 431,521.88 : x
  2. Step 2: Convert to fraction form
    287,681.06/431,521.88 = 431,521.88/x
  3. Step 3: Cross multiply
    287,681.06x = 431,521.88 × 431,521.88
  4. Step 4: Simplify right side
    287,681.06x = 186,211,128,603.52
  5. Step 5: Solve for x
    x = 186,211,128,603.52/287,681.06
  6. Step 6: Final answer
    x = 647,283.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.