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Finding the Third Proportional to 478,942 and 714,261

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Solution

The third proportional to 478,942 and 714,261 is: 1,065,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,942 : 714,261 = 714,261 : x
  2. Step 2: Convert to fraction form
    478,942/714,261 = 714,261/x
  3. Step 3: Cross multiply
    478,942x = 714,261 × 714,261
  4. Step 4: Simplify right side
    478,942x = 510,168,776,121
  5. Step 5: Solve for x
    x = 510,168,776,121/478,942
  6. Step 6: Final answer
    x = 1,065,199.49

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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.