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Finding the Third Proportional to 289,764 and 634,887

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Solution

The third proportional to 289,764 and 634,887 is: 1,391,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,764 : 634,887 = 634,887 : x
  2. Step 2: Convert to fraction form
    289,764/634,887 = 634,887/x
  3. Step 3: Cross multiply
    289,764x = 634,887 × 634,887
  4. Step 4: Simplify right side
    289,764x = 403,081,502,769
  5. Step 5: Solve for x
    x = 403,081,502,769/289,764
  6. Step 6: Final answer
    x = 1,391,068.26

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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.