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Finding the Third Proportional to 688,040 and 1,490,897

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Solution

The third proportional to 688,040 and 1,490,897 is: 3,230,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,040 : 1,490,897 = 1,490,897 : x
  2. Step 2: Convert to fraction form
    688,040/1,490,897 = 1,490,897/x
  3. Step 3: Cross multiply
    688,040x = 1,490,897 × 1,490,897
  4. Step 4: Simplify right side
    688,040x = 2,222,773,864,609
  5. Step 5: Solve for x
    x = 2,222,773,864,609/688,040
  6. Step 6: Final answer
    x = 3,230,588.14

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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.