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Finding the Third Proportional to 502,743.75 and 645,510.25

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Solution

The third proportional to 502,743.75 and 645,510.25 is: 828,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,743.75 : 645,510.25 = 645,510.25 : x
  2. Step 2: Convert to fraction form
    502,743.75/645,510.25 = 645,510.25/x
  3. Step 3: Cross multiply
    502,743.75x = 645,510.25 × 645,510.25
  4. Step 4: Simplify right side
    502,743.75x = 416,683,482,855.06
  5. Step 5: Solve for x
    x = 416,683,482,855.06/502,743.75
  6. Step 6: Final answer
    x = 828,818.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.