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Finding the Third Proportional to 388,421,276 and 832,108,040

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Solution

The third proportional to 388,421,276 and 832,108,040 is: 1,782,610,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,421,276 : 832,108,040 = 832,108,040 : x
  2. Step 2: Convert to fraction form
    388,421,276/832,108,040 = 832,108,040/x
  3. Step 3: Cross multiply
    388,421,276x = 832,108,040 × 832,108,040
  4. Step 4: Simplify right side
    388,421,276x = 692,403,790,232,641,536
  5. Step 5: Solve for x
    x = 692,403,790,232,641,536/388,421,276
  6. Step 6: Final answer
    x = 1,782,610,358.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.