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Finding the Third Proportional to 578,070 and 1,218,459

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Solution

The third proportional to 578,070 and 1,218,459 is: 2,568,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,070 : 1,218,459 = 1,218,459 : x
  2. Step 2: Convert to fraction form
    578,070/1,218,459 = 1,218,459/x
  3. Step 3: Cross multiply
    578,070x = 1,218,459 × 1,218,459
  4. Step 4: Simplify right side
    578,070x = 1,484,642,334,681
  5. Step 5: Solve for x
    x = 1,484,642,334,681/578,070
  6. Step 6: Final answer
    x = 2,568,274.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.