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Finding the Third Proportional to 91,390,608 and 197,828,640

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Solution

The third proportional to 91,390,608 and 197,828,640 is: 428,229,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,390,608 : 197,828,640 = 197,828,640 : x
  2. Step 2: Convert to fraction form
    91,390,608/197,828,640 = 197,828,640/x
  3. Step 3: Cross multiply
    91,390,608x = 197,828,640 × 197,828,640
  4. Step 4: Simplify right side
    91,390,608x = 39,136,170,804,249,600
  5. Step 5: Solve for x
    x = 39,136,170,804,249,600/91,390,608
  6. Step 6: Final answer
    x = 428,229,679.84

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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.