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Finding the Third Proportional to 191,643 and 403,146

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Solution

The third proportional to 191,643 and 403,146 is: 848,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,643 : 403,146 = 403,146 : x
  2. Step 2: Convert to fraction form
    191,643/403,146 = 403,146/x
  3. Step 3: Cross multiply
    191,643x = 403,146 × 403,146
  4. Step 4: Simplify right side
    191,643x = 162,526,697,316
  5. Step 5: Solve for x
    x = 162,526,697,316/191,643
  6. Step 6: Final answer
    x = 848,070.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.