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Finding the Third Proportional to 298,503,555.75 and 645,901,870.50

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Solution

The third proportional to 298,503,555.75 and 645,901,870.50 is: 1,397,602,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,503,555.75 : 645,901,870.50 = 645,901,870.50 : x
  2. Step 2: Convert to fraction form
    298,503,555.75/645,901,870.50 = 645,901,870.50/x
  3. Step 3: Cross multiply
    298,503,555.75x = 645,901,870.50 × 645,901,870.50
  4. Step 4: Simplify right side
    298,503,555.75x = 417,189,226,315,398,784
  5. Step 5: Solve for x
    x = 417,189,226,315,398,784/298,503,555.75
  6. Step 6: Final answer
    x = 1,397,602,200.31

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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.