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Finding the Third Proportional to 402,498,410 and 869,622,143

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Solution

The third proportional to 402,498,410 and 869,622,143 is: 1,878,871,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,498,410 : 869,622,143 = 869,622,143 : x
  2. Step 2: Convert to fraction form
    402,498,410/869,622,143 = 869,622,143/x
  3. Step 3: Cross multiply
    402,498,410x = 869,622,143 × 869,622,143
  4. Step 4: Simplify right side
    402,498,410x = 756,242,671,595,912,448
  5. Step 5: Solve for x
    x = 756,242,671,595,912,448/402,498,410
  6. Step 6: Final answer
    x = 1,878,871,202.49

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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.