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Finding the Third Proportional to 688,929 and 1,512,363

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Solution

The third proportional to 688,929 and 1,512,363 is: 3,319,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,929 : 1,512,363 = 1,512,363 : x
  2. Step 2: Convert to fraction form
    688,929/1,512,363 = 1,512,363/x
  3. Step 3: Cross multiply
    688,929x = 1,512,363 × 1,512,363
  4. Step 4: Simplify right side
    688,929x = 2,287,241,843,769
  5. Step 5: Solve for x
    x = 2,287,241,843,769/688,929
  6. Step 6: Final answer
    x = 3,319,996.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.