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Finding the Third Proportional to 145,506,720 and 219,770,748

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Solution

The third proportional to 145,506,720 and 219,770,748 is: 331,937,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,506,720 : 219,770,748 = 219,770,748 : x
  2. Step 2: Convert to fraction form
    145,506,720/219,770,748 = 219,770,748/x
  3. Step 3: Cross multiply
    145,506,720x = 219,770,748 × 219,770,748
  4. Step 4: Simplify right side
    145,506,720x = 48,299,181,676,479,504
  5. Step 5: Solve for x
    x = 48,299,181,676,479,504/145,506,720
  6. Step 6: Final answer
    x = 331,937,807.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.