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Finding the Third Proportional to 688,428 and 1,482,324

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Solution

The third proportional to 688,428 and 1,482,324 is: 3,191,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,428 : 1,482,324 = 1,482,324 : x
  2. Step 2: Convert to fraction form
    688,428/1,482,324 = 1,482,324/x
  3. Step 3: Cross multiply
    688,428x = 1,482,324 × 1,482,324
  4. Step 4: Simplify right side
    688,428x = 2,197,284,440,976
  5. Step 5: Solve for x
    x = 2,197,284,440,976/688,428
  6. Step 6: Final answer
    x = 3,191,741.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.