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Finding the Third Proportional to 478,326.52 and 740,595.66

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Solution

The third proportional to 478,326.52 and 740,595.66 is: 1,146,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,326.52 : 740,595.66 = 740,595.66 : x
  2. Step 2: Convert to fraction form
    478,326.52/740,595.66 = 740,595.66/x
  3. Step 3: Cross multiply
    478,326.52x = 740,595.66 × 740,595.66
  4. Step 4: Simplify right side
    478,326.52x = 548,481,926,056.37
  5. Step 5: Solve for x
    x = 548,481,926,056.37/478,326.52
  6. Step 6: Final answer
    x = 1,146,668.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.