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Finding the Third Proportional to 21,460,128 and 46,578,432

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Solution

The third proportional to 21,460,128 and 46,578,432 is: 101,096,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460,128 : 46,578,432 = 46,578,432 : x
  2. Step 2: Convert to fraction form
    21,460,128/46,578,432 = 46,578,432/x
  3. Step 3: Cross multiply
    21,460,128x = 46,578,432 × 46,578,432
  4. Step 4: Simplify right side
    21,460,128x = 2,169,550,327,578,624
  5. Step 5: Solve for x
    x = 2,169,550,327,578,624/21,460,128
  6. Step 6: Final answer
    x = 101,096,802.76

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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.