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Finding the Third Proportional to 312,158 and 736,637

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Solution

The third proportional to 312,158 and 736,637 is: 1,738,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,158 : 736,637 = 736,637 : x
  2. Step 2: Convert to fraction form
    312,158/736,637 = 736,637/x
  3. Step 3: Cross multiply
    312,158x = 736,637 × 736,637
  4. Step 4: Simplify right side
    312,158x = 542,634,069,769
  5. Step 5: Solve for x
    x = 542,634,069,769/312,158
  6. Step 6: Final answer
    x = 1,738,331.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.