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Finding the Third Proportional to 246,312 and 389,475

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Solution

The third proportional to 246,312 and 389,475 is: 615,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,312 : 389,475 = 389,475 : x
  2. Step 2: Convert to fraction form
    246,312/389,475 = 389,475/x
  3. Step 3: Cross multiply
    246,312x = 389,475 × 389,475
  4. Step 4: Simplify right side
    246,312x = 151,690,775,625
  5. Step 5: Solve for x
    x = 151,690,775,625/246,312
  6. Step 6: Final answer
    x = 615,848.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.