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Finding the Third Proportional to 2,531,209.50 and 3,920,384.81

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Solution

The third proportional to 2,531,209.50 and 3,920,384.81 is: 6,071,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,209.50 : 3,920,384.81 = 3,920,384.81 : x
  2. Step 2: Convert to fraction form
    2,531,209.50/3,920,384.81 = 3,920,384.81/x
  3. Step 3: Cross multiply
    2,531,209.50x = 3,920,384.81 × 3,920,384.81
  4. Step 4: Simplify right side
    2,531,209.50x = 15,369,417,078,080.66
  5. Step 5: Solve for x
    x = 15,369,417,078,080.66/2,531,209.50
  6. Step 6: Final answer
    x = 6,071,965.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.