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Finding the Third Proportional to 65,420,111 and 142,722,915

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Solution

The third proportional to 65,420,111 and 142,722,915 is: 311,369,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420,111 : 142,722,915 = 142,722,915 : x
  2. Step 2: Convert to fraction form
    65,420,111/142,722,915 = 142,722,915/x
  3. Step 3: Cross multiply
    65,420,111x = 142,722,915 × 142,722,915
  4. Step 4: Simplify right side
    65,420,111x = 20,369,830,466,097,224
  5. Step 5: Solve for x
    x = 20,369,830,466,097,224/65,420,111
  6. Step 6: Final answer
    x = 311,369,549.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.