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Finding the Third Proportional to 98,349,639 and 144,335,811

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Solution

The third proportional to 98,349,639 and 144,335,811 is: 211,824,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,349,639 : 144,335,811 = 144,335,811 : x
  2. Step 2: Convert to fraction form
    98,349,639/144,335,811 = 144,335,811/x
  3. Step 3: Cross multiply
    98,349,639x = 144,335,811 × 144,335,811
  4. Step 4: Simplify right side
    98,349,639x = 20,832,826,337,027,720
  5. Step 5: Solve for x
    x = 20,832,826,337,027,720/98,349,639
  6. Step 6: Final answer
    x = 211,824,126.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.