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Finding the Third Proportional to 289,769 and 634,897

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Solution

The third proportional to 289,769 and 634,897 is: 1,391,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,769 : 634,897 = 634,897 : x
  2. Step 2: Convert to fraction form
    289,769/634,897 = 634,897/x
  3. Step 3: Cross multiply
    289,769x = 634,897 × 634,897
  4. Step 4: Simplify right side
    289,769x = 403,094,200,609
  5. Step 5: Solve for x
    x = 403,094,200,609/289,769
  6. Step 6: Final answer
    x = 1,391,088.08

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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.