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Finding the Third Proportional to 564,803.50 and 1,221,381

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Solution

The third proportional to 564,803.50 and 1,221,381 is: 2,641,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,803.50 : 1,221,381 = 1,221,381 : x
  2. Step 2: Convert to fraction form
    564,803.50/1,221,381 = 1,221,381/x
  3. Step 3: Cross multiply
    564,803.50x = 1,221,381 × 1,221,381
  4. Step 4: Simplify right side
    564,803.50x = 1,491,771,547,161
  5. Step 5: Solve for x
    x = 1,491,771,547,161/564,803.50
  6. Step 6: Final answer
    x = 2,641,222.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.