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Finding the Third Proportional to 478,272 and 714,852

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Solution

The third proportional to 478,272 and 714,852 is: 1,068,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,272 : 714,852 = 714,852 : x
  2. Step 2: Convert to fraction form
    478,272/714,852 = 714,852/x
  3. Step 3: Cross multiply
    478,272x = 714,852 × 714,852
  4. Step 4: Simplify right side
    478,272x = 511,013,381,904
  5. Step 5: Solve for x
    x = 511,013,381,904/478,272
  6. Step 6: Final answer
    x = 1,068,457.66

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Why These Related Problems?

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