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Finding the Third Proportional to 78,564,899 and 185,199,315

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Solution

The third proportional to 78,564,899 and 185,199,315 is: 436,566,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564,899 : 185,199,315 = 185,199,315 : x
  2. Step 2: Convert to fraction form
    78,564,899/185,199,315 = 185,199,315/x
  3. Step 3: Cross multiply
    78,564,899x = 185,199,315 × 185,199,315
  4. Step 4: Simplify right side
    78,564,899x = 34,298,786,276,469,224
  5. Step 5: Solve for x
    x = 34,298,786,276,469,224/78,564,899
  6. Step 6: Final answer
    x = 436,566,287.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.