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Finding the Third Proportional to 478,860 and 714,136

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Solution

The third proportional to 478,860 and 714,136 is: 1,065,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,860 : 714,136 = 714,136 : x
  2. Step 2: Convert to fraction form
    478,860/714,136 = 714,136/x
  3. Step 3: Cross multiply
    478,860x = 714,136 × 714,136
  4. Step 4: Simplify right side
    478,860x = 509,990,226,496
  5. Step 5: Solve for x
    x = 509,990,226,496/478,860
  6. Step 6: Final answer
    x = 1,065,009.03

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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.