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Finding the Third Proportional to 501,196 and 777,246

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Solution

The third proportional to 501,196 and 777,246 is: 1,205,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,196 : 777,246 = 777,246 : x
  2. Step 2: Convert to fraction form
    501,196/777,246 = 777,246/x
  3. Step 3: Cross multiply
    501,196x = 777,246 × 777,246
  4. Step 4: Simplify right side
    501,196x = 604,111,344,516
  5. Step 5: Solve for x
    x = 604,111,344,516/501,196
  6. Step 6: Final answer
    x = 1,205,339.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.