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Finding the Third Proportional to 288,282,168 and 621,913,896

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Solution

The third proportional to 288,282,168 and 621,913,896 is: 1,341,660,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,282,168 : 621,913,896 = 621,913,896 : x
  2. Step 2: Convert to fraction form
    288,282,168/621,913,896 = 621,913,896/x
  3. Step 3: Cross multiply
    288,282,168x = 621,913,896 × 621,913,896
  4. Step 4: Simplify right side
    288,282,168x = 386,776,894,037,898,816
  5. Step 5: Solve for x
    x = 386,776,894,037,898,816/288,282,168
  6. Step 6: Final answer
    x = 1,341,660,834.32

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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.