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Finding the Third Proportional to 145,112,002 and 315,732,712

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Solution

The third proportional to 145,112,002 and 315,732,712 is: 686,966,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,112,002 : 315,732,712 = 315,732,712 : x
  2. Step 2: Convert to fraction form
    145,112,002/315,732,712 = 315,732,712/x
  3. Step 3: Cross multiply
    145,112,002x = 315,732,712 × 315,732,712
  4. Step 4: Simplify right side
    145,112,002x = 99,687,145,426,874,944
  5. Step 5: Solve for x
    x = 99,687,145,426,874,944/145,112,002
  6. Step 6: Final answer
    x = 686,966,922.47

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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.