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Finding the Third Proportional to 143,553,384 and 314,896,734

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Solution

The third proportional to 143,553,384 and 314,896,734 is: 690,753,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,553,384 : 314,896,734 = 314,896,734 : x
  2. Step 2: Convert to fraction form
    143,553,384/314,896,734 = 314,896,734/x
  3. Step 3: Cross multiply
    143,553,384x = 314,896,734 × 314,896,734
  4. Step 4: Simplify right side
    143,553,384x = 99,159,953,083,866,752
  5. Step 5: Solve for x
    x = 99,159,953,083,866,752/143,553,384
  6. Step 6: Final answer
    x = 690,753,156.22

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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.