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Finding the Third Proportional to 287,878,398 and 626,871,036

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Solution

The third proportional to 287,878,398 and 626,871,036 is: 1,365,046,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878,398 : 626,871,036 = 626,871,036 : x
  2. Step 2: Convert to fraction form
    287,878,398/626,871,036 = 626,871,036/x
  3. Step 3: Cross multiply
    287,878,398x = 626,871,036 × 626,871,036
  4. Step 4: Simplify right side
    287,878,398x = 392,967,295,775,713,280
  5. Step 5: Solve for x
    x = 392,967,295,775,713,280/287,878,398
  6. Step 6: Final answer
    x = 1,365,046,139.29

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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.