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Finding the Third Proportional to 478,420 and 740,304

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Solution

The third proportional to 478,420 and 740,304 is: 1,145,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,420 : 740,304 = 740,304 : x
  2. Step 2: Convert to fraction form
    478,420/740,304 = 740,304/x
  3. Step 3: Cross multiply
    478,420x = 740,304 × 740,304
  4. Step 4: Simplify right side
    478,420x = 548,050,012,416
  5. Step 5: Solve for x
    x = 548,050,012,416/478,420
  6. Step 6: Final answer
    x = 1,145,541.60

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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.