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Finding the Third Proportional to 388,313,854 and 831,897,572

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Solution

The third proportional to 388,313,854 and 831,897,572 is: 1,782,201,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,313,854 : 831,897,572 = 831,897,572 : x
  2. Step 2: Convert to fraction form
    388,313,854/831,897,572 = 831,897,572/x
  3. Step 3: Cross multiply
    388,313,854x = 831,897,572 × 831,897,572
  4. Step 4: Simplify right side
    388,313,854x = 692,053,570,299,495,168
  5. Step 5: Solve for x
    x = 692,053,570,299,495,168/388,313,854
  6. Step 6: Final answer
    x = 1,782,201,595.88

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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.