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Finding the Third Proportional to 8,966,580 and 19,457,320

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Solution

The third proportional to 8,966,580 and 19,457,320 is: 42,222,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966,580 : 19,457,320 = 19,457,320 : x
  2. Step 2: Convert to fraction form
    8,966,580/19,457,320 = 19,457,320/x
  3. Step 3: Cross multiply
    8,966,580x = 19,457,320 × 19,457,320
  4. Step 4: Simplify right side
    8,966,580x = 378,587,301,582,400
  5. Step 5: Solve for x
    x = 378,587,301,582,400/8,966,580
  6. Step 6: Final answer
    x = 42,222,040.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.