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Finding the Third Proportional to 319,287,207.75 and 688,411,771.25

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Solution

The third proportional to 319,287,207.75 and 688,411,771.25 is: 1,484,277,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,287,207.75 : 688,411,771.25 = 688,411,771.25 : x
  2. Step 2: Convert to fraction form
    319,287,207.75/688,411,771.25 = 688,411,771.25/x
  3. Step 3: Cross multiply
    319,287,207.75x = 688,411,771.25 × 688,411,771.25
  4. Step 4: Simplify right side
    319,287,207.75x = 473,910,766,795,562,304
  5. Step 5: Solve for x
    x = 473,910,766,795,562,304/319,287,207.75
  6. Step 6: Final answer
    x = 1,484,277,338.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.