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Finding the Third Proportional to 358,957,928 and 780,808,576

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Solution

The third proportional to 358,957,928 and 780,808,576 is: 1,698,421,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,957,928 : 780,808,576 = 780,808,576 : x
  2. Step 2: Convert to fraction form
    358,957,928/780,808,576 = 780,808,576/x
  3. Step 3: Cross multiply
    358,957,928x = 780,808,576 × 780,808,576
  4. Step 4: Simplify right side
    358,957,928x = 609,662,032,355,147,776
  5. Step 5: Solve for x
    x = 609,662,032,355,147,776/358,957,928
  6. Step 6: Final answer
    x = 1,698,421,973.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.