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Finding the Third Proportional to 803,528 and 1,215,660

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Solution

The third proportional to 803,528 and 1,215,660 is: 1,839,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,528 : 1,215,660 = 1,215,660 : x
  2. Step 2: Convert to fraction form
    803,528/1,215,660 = 1,215,660/x
  3. Step 3: Cross multiply
    803,528x = 1,215,660 × 1,215,660
  4. Step 4: Simplify right side
    803,528x = 1,477,829,235,600
  5. Step 5: Solve for x
    x = 1,477,829,235,600/803,528
  6. Step 6: Final answer
    x = 1,839,175.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.