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Finding the Third Proportional to 423,416,538 and 917,191,795.50

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Solution

The third proportional to 423,416,538 and 917,191,795.50 is: 1,986,792,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,416,538 : 917,191,795.50 = 917,191,795.50 : x
  2. Step 2: Convert to fraction form
    423,416,538/917,191,795.50 = 917,191,795.50/x
  3. Step 3: Cross multiply
    423,416,538x = 917,191,795.50 × 917,191,795.50
  4. Step 4: Simplify right side
    423,416,538x = 841,240,789,732,513,792
  5. Step 5: Solve for x
    x = 841,240,789,732,513,792/423,416,538
  6. Step 6: Final answer
    x = 1,986,792,470.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.