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Finding the Third Proportional to 288,282,170 and 621,913,900

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Solution

The third proportional to 288,282,170 and 621,913,900 is: 1,341,660,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,282,170 : 621,913,900 = 621,913,900 : x
  2. Step 2: Convert to fraction form
    288,282,170/621,913,900 = 621,913,900/x
  3. Step 3: Cross multiply
    288,282,170x = 621,913,900 × 621,913,900
  4. Step 4: Simplify right side
    288,282,170x = 386,776,899,013,209,984
  5. Step 5: Solve for x
    x = 386,776,899,013,209,984/288,282,170
  6. Step 6: Final answer
    x = 1,341,660,842.27

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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.