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Finding the Third Proportional to 578,218.50 and 847,587.38

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Solution

The third proportional to 578,218.50 and 847,587.38 is: 1,242,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,218.50 : 847,587.38 = 847,587.38 : x
  2. Step 2: Convert to fraction form
    578,218.50/847,587.38 = 847,587.38/x
  3. Step 3: Cross multiply
    578,218.50x = 847,587.38 × 847,587.38
  4. Step 4: Simplify right side
    578,218.50x = 718,404,358,259.39
  5. Step 5: Solve for x
    x = 718,404,358,259.39/578,218.50
  6. Step 6: Final answer
    x = 1,242,444.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.