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Finding the Third Proportional to 478,388 and 740,262

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Solution

The third proportional to 478,388 and 740,262 is: 1,145,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,388 : 740,262 = 740,262 : x
  2. Step 2: Convert to fraction form
    478,388/740,262 = 740,262/x
  3. Step 3: Cross multiply
    478,388x = 740,262 × 740,262
  4. Step 4: Simplify right side
    478,388x = 547,987,828,644
  5. Step 5: Solve for x
    x = 547,987,828,644/478,388
  6. Step 6: Final answer
    x = 1,145,488.24

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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.