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Finding the Third Proportional to 401,004,145 and 638,076,411.50

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Solution

The third proportional to 401,004,145 and 638,076,411.50 is: 1,015,304,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,145 : 638,076,411.50 = 638,076,411.50 : x
  2. Step 2: Convert to fraction form
    401,004,145/638,076,411.50 = 638,076,411.50/x
  3. Step 3: Cross multiply
    401,004,145x = 638,076,411.50 × 638,076,411.50
  4. Step 4: Simplify right side
    401,004,145x = 407,141,506,912,717,312
  5. Step 5: Solve for x
    x = 407,141,506,912,717,312/401,004,145
  6. Step 6: Final answer
    x = 1,015,304,983.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.