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Finding the Third Proportional to 145,160,799 and 215,020,089

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Solution

The third proportional to 145,160,799 and 215,020,089 is: 318,499,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160,799 : 215,020,089 = 215,020,089 : x
  2. Step 2: Convert to fraction form
    145,160,799/215,020,089 = 215,020,089/x
  3. Step 3: Cross multiply
    145,160,799x = 215,020,089 × 215,020,089
  4. Step 4: Simplify right side
    145,160,799x = 46,233,638,673,567,920
  5. Step 5: Solve for x
    x = 46,233,638,673,567,920/145,160,799
  6. Step 6: Final answer
    x = 318,499,477.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.