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Finding the Third Proportional to 688,038 and 1,490,893

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Solution

The third proportional to 688,038 and 1,490,893 is: 3,230,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,038 : 1,490,893 = 1,490,893 : x
  2. Step 2: Convert to fraction form
    688,038/1,490,893 = 1,490,893/x
  3. Step 3: Cross multiply
    688,038x = 1,490,893 × 1,490,893
  4. Step 4: Simplify right side
    688,038x = 2,222,761,937,449
  5. Step 5: Solve for x
    x = 2,222,761,937,449/688,038
  6. Step 6: Final answer
    x = 3,230,580.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.