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Finding the Third Proportional to 556,981 and 1,218,289

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Solution

The third proportional to 556,981 and 1,218,289 is: 2,664,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,981 : 1,218,289 = 1,218,289 : x
  2. Step 2: Convert to fraction form
    556,981/1,218,289 = 1,218,289/x
  3. Step 3: Cross multiply
    556,981x = 1,218,289 × 1,218,289
  4. Step 4: Simplify right side
    556,981x = 1,484,228,087,521
  5. Step 5: Solve for x
    x = 1,484,228,087,521/556,981
  6. Step 6: Final answer
    x = 2,664,773.28

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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.