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Finding the Third Proportional to 142,862,152 and 310,078,728

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Solution

The third proportional to 142,862,152 and 310,078,728 is: 673,018,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,862,152 : 310,078,728 = 310,078,728 : x
  2. Step 2: Convert to fraction form
    142,862,152/310,078,728 = 310,078,728/x
  3. Step 3: Cross multiply
    142,862,152x = 310,078,728 × 310,078,728
  4. Step 4: Simplify right side
    142,862,152x = 96,148,817,558,097,984
  5. Step 5: Solve for x
    x = 96,148,817,558,097,984/142,862,152
  6. Step 6: Final answer
    x = 673,018,124.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.