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Finding the Third Proportional to 688,663 and 1,487,982

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Solution

The third proportional to 688,663 and 1,487,982 is: 3,215,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,663 : 1,487,982 = 1,487,982 : x
  2. Step 2: Convert to fraction form
    688,663/1,487,982 = 1,487,982/x
  3. Step 3: Cross multiply
    688,663x = 1,487,982 × 1,487,982
  4. Step 4: Simplify right side
    688,663x = 2,214,090,432,324
  5. Step 5: Solve for x
    x = 2,214,090,432,324/688,663
  6. Step 6: Final answer
    x = 3,215,056.47

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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.