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Finding the Third Proportional to 478,274 and 714,855

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Solution

The third proportional to 478,274 and 714,855 is: 1,068,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,274 : 714,855 = 714,855 : x
  2. Step 2: Convert to fraction form
    478,274/714,855 = 714,855/x
  3. Step 3: Cross multiply
    478,274x = 714,855 × 714,855
  4. Step 4: Simplify right side
    478,274x = 511,017,671,025
  5. Step 5: Solve for x
    x = 511,017,671,025/478,274
  6. Step 6: Final answer
    x = 1,068,462.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.