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Finding the Third Proportional to 580,610 and 1,244,164

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Solution

The third proportional to 580,610 and 1,244,164 is: 2,666,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,610 : 1,244,164 = 1,244,164 : x
  2. Step 2: Convert to fraction form
    580,610/1,244,164 = 1,244,164/x
  3. Step 3: Cross multiply
    580,610x = 1,244,164 × 1,244,164
  4. Step 4: Simplify right side
    580,610x = 1,547,944,058,896
  5. Step 5: Solve for x
    x = 1,547,944,058,896/580,610
  6. Step 6: Final answer
    x = 2,666,065.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.