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Finding the Third Proportional to 557,103.66 and 1,220,687.72

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Solution

The third proportional to 557,103.66 and 1,220,687.72 is: 2,674,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,103.66 : 1,220,687.72 = 1,220,687.72 : x
  2. Step 2: Convert to fraction form
    557,103.66/1,220,687.72 = 1,220,687.72/x
  3. Step 3: Cross multiply
    557,103.66x = 1,220,687.72 × 1,220,687.72
  4. Step 4: Simplify right side
    557,103.66x = 1,490,078,506,707.08
  5. Step 5: Solve for x
    x = 1,490,078,506,707.08/557,103.66
  6. Step 6: Final answer
    x = 2,674,688.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.