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Finding the Third Proportional to 210,770 and 507,953

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Solution

The third proportional to 210,770 and 507,953 is: 1,224,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770 : 507,953 = 507,953 : x
  2. Step 2: Convert to fraction form
    210,770/507,953 = 507,953/x
  3. Step 3: Cross multiply
    210,770x = 507,953 × 507,953
  4. Step 4: Simplify right side
    210,770x = 258,016,250,209
  5. Step 5: Solve for x
    x = 258,016,250,209/210,770
  6. Step 6: Final answer
    x = 1,224,160.22

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.