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Finding the Third Proportional to 287,878,404 and 626,871,048

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Solution

The third proportional to 287,878,404 and 626,871,048 is: 1,365,046,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878,404 : 626,871,048 = 626,871,048 : x
  2. Step 2: Convert to fraction form
    287,878,404/626,871,048 = 626,871,048/x
  3. Step 3: Cross multiply
    287,878,404x = 626,871,048 × 626,871,048
  4. Step 4: Simplify right side
    287,878,404x = 392,967,310,820,618,304
  5. Step 5: Solve for x
    x = 392,967,310,820,618,304/287,878,404
  6. Step 6: Final answer
    x = 1,365,046,163.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.