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Finding the Third Proportional to 103,771,020 and 152,533,560

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Solution

The third proportional to 103,771,020 and 152,533,560 is: 224,209,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,771,020 : 152,533,560 = 152,533,560 : x
  2. Step 2: Convert to fraction form
    103,771,020/152,533,560 = 152,533,560/x
  3. Step 3: Cross multiply
    103,771,020x = 152,533,560 × 152,533,560
  4. Step 4: Simplify right side
    103,771,020x = 23,266,486,926,273,600
  5. Step 5: Solve for x
    x = 23,266,486,926,273,600/103,771,020
  6. Step 6: Final answer
    x = 224,209,870.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.