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Finding the Third Proportional to 374,140 and 819,776

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Solution

The third proportional to 374,140 and 819,776 is: 1,796,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,140 : 819,776 = 819,776 : x
  2. Step 2: Convert to fraction form
    374,140/819,776 = 819,776/x
  3. Step 3: Cross multiply
    374,140x = 819,776 × 819,776
  4. Step 4: Simplify right side
    374,140x = 672,032,690,176
  5. Step 5: Solve for x
    x = 672,032,690,176/374,140
  6. Step 6: Final answer
    x = 1,796,206.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.