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Finding the Third Proportional to 556,017 and 1,220,289

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Solution

The third proportional to 556,017 and 1,220,289 is: 2,678,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,017 : 1,220,289 = 1,220,289 : x
  2. Step 2: Convert to fraction form
    556,017/1,220,289 = 1,220,289/x
  3. Step 3: Cross multiply
    556,017x = 1,220,289 × 1,220,289
  4. Step 4: Simplify right side
    556,017x = 1,489,105,243,521
  5. Step 5: Solve for x
    x = 1,489,105,243,521/556,017
  6. Step 6: Final answer
    x = 2,678,164.95

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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.