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Finding the Third Proportional to 209,242,060 and 287,232,222

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Solution

The third proportional to 209,242,060 and 287,232,222 is: 394,291,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242,060 : 287,232,222 = 287,232,222 : x
  2. Step 2: Convert to fraction form
    209,242,060/287,232,222 = 287,232,222/x
  3. Step 3: Cross multiply
    209,242,060x = 287,232,222 × 287,232,222
  4. Step 4: Simplify right side
    209,242,060x = 82,502,349,355,057,280
  5. Step 5: Solve for x
    x = 82,502,349,355,057,280/209,242,060
  6. Step 6: Final answer
    x = 394,291,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.