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Finding the Third Proportional to 498,136 and 778,312

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Solution

The third proportional to 498,136 and 778,312 is: 1,216,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,136 : 778,312 = 778,312 : x
  2. Step 2: Convert to fraction form
    498,136/778,312 = 778,312/x
  3. Step 3: Cross multiply
    498,136x = 778,312 × 778,312
  4. Step 4: Simplify right side
    498,136x = 605,769,569,344
  5. Step 5: Solve for x
    x = 605,769,569,344/498,136
  6. Step 6: Final answer
    x = 1,216,072.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.