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Finding the Third Proportional to 388,780.59 and 808,590.09

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Solution

The third proportional to 388,780.59 and 808,590.09 is: 1,681,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,780.59 : 808,590.09 = 808,590.09 : x
  2. Step 2: Convert to fraction form
    388,780.59/808,590.09 = 808,590.09/x
  3. Step 3: Cross multiply
    388,780.59x = 808,590.09 × 808,590.09
  4. Step 4: Simplify right side
    388,780.59x = 653,817,939,710.63
  5. Step 5: Solve for x
    x = 653,817,939,710.63/388,780.59
  6. Step 6: Final answer
    x = 1,681,714.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.