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Finding the Third Proportional to 142,910,152 and 218,472,575

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Solution

The third proportional to 142,910,152 and 218,472,575 is: 333,987,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,910,152 : 218,472,575 = 218,472,575 : x
  2. Step 2: Convert to fraction form
    142,910,152/218,472,575 = 218,472,575/x
  3. Step 3: Cross multiply
    142,910,152x = 218,472,575 × 218,472,575
  4. Step 4: Simplify right side
    142,910,152x = 47,730,266,027,130,624
  5. Step 5: Solve for x
    x = 47,730,266,027,130,624/142,910,152
  6. Step 6: Final answer
    x = 333,987,931.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.