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Finding the Third Proportional to 196,774,642 and 430,617,478

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Solution

The third proportional to 196,774,642 and 430,617,478 is: 942,354,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774,642 : 430,617,478 = 430,617,478 : x
  2. Step 2: Convert to fraction form
    196,774,642/430,617,478 = 430,617,478/x
  3. Step 3: Cross multiply
    196,774,642x = 430,617,478 × 430,617,478
  4. Step 4: Simplify right side
    196,774,642x = 185,431,412,359,080,480
  5. Step 5: Solve for x
    x = 185,431,412,359,080,480/196,774,642
  6. Step 6: Final answer
    x = 942,354,210.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.