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Finding the Third Proportional to 181,749,076 and 391,211,820

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Solution

The third proportional to 181,749,076 and 391,211,820 is: 842,076,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,749,076 : 391,211,820 = 391,211,820 : x
  2. Step 2: Convert to fraction form
    181,749,076/391,211,820 = 391,211,820/x
  3. Step 3: Cross multiply
    181,749,076x = 391,211,820 × 391,211,820
  4. Step 4: Simplify right side
    181,749,076x = 153,046,688,107,712,384
  5. Step 5: Solve for x
    x = 153,046,688,107,712,384/181,749,076
  6. Step 6: Final answer
    x = 842,076,842.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.