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Finding the Third Proportional to 208,557,008 and 306,450,830

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Solution

The third proportional to 208,557,008 and 306,450,830 is: 450,294,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,557,008 : 306,450,830 = 306,450,830 : x
  2. Step 2: Convert to fraction form
    208,557,008/306,450,830 = 306,450,830/x
  3. Step 3: Cross multiply
    208,557,008x = 306,450,830 × 306,450,830
  4. Step 4: Simplify right side
    208,557,008x = 93,912,111,207,688,896
  5. Step 5: Solve for x
    x = 93,912,111,207,688,896/208,557,008
  6. Step 6: Final answer
    x = 450,294,680.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.