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Finding the Third Proportional to 143,553,386 and 314,896,738

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Solution

The third proportional to 143,553,386 and 314,896,738 is: 690,753,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,553,386 : 314,896,738 = 314,896,738 : x
  2. Step 2: Convert to fraction form
    143,553,386/314,896,738 = 314,896,738/x
  3. Step 3: Cross multiply
    143,553,386x = 314,896,738 × 314,896,738
  4. Step 4: Simplify right side
    143,553,386x = 99,159,955,603,040,640
  5. Step 5: Solve for x
    x = 99,159,955,603,040,640/143,553,386
  6. Step 6: Final answer
    x = 690,753,164.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.