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Finding the Third Proportional to 77,307,609 and 165,681,574.50

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Solution

The third proportional to 77,307,609 and 165,681,574.50 is: 355,079,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307,609 : 165,681,574.50 = 165,681,574.50 : x
  2. Step 2: Convert to fraction form
    77,307,609/165,681,574.50 = 165,681,574.50/x
  3. Step 3: Cross multiply
    77,307,609x = 165,681,574.50 × 165,681,574.50
  4. Step 4: Simplify right side
    77,307,609x = 27,450,384,128,799,052
  5. Step 5: Solve for x
    x = 27,450,384,128,799,052/77,307,609
  6. Step 6: Final answer
    x = 355,079,978.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.