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Finding the Third Proportional to 802,929 and 1,182,211.50

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Solution

The third proportional to 802,929 and 1,182,211.50 is: 1,740,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,929 : 1,182,211.50 = 1,182,211.50 : x
  2. Step 2: Convert to fraction form
    802,929/1,182,211.50 = 1,182,211.50/x
  3. Step 3: Cross multiply
    802,929x = 1,182,211.50 × 1,182,211.50
  4. Step 4: Simplify right side
    802,929x = 1,397,624,030,732.25
  5. Step 5: Solve for x
    x = 1,397,624,030,732.25/802,929
  6. Step 6: Final answer
    x = 1,740,657.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.