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Finding the Third Proportional to 115,742,320 and 249,656,864

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Solution

The third proportional to 115,742,320 and 249,656,864 is: 538,511,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,742,320 : 249,656,864 = 249,656,864 : x
  2. Step 2: Convert to fraction form
    115,742,320/249,656,864 = 249,656,864/x
  3. Step 3: Cross multiply
    115,742,320x = 249,656,864 × 249,656,864
  4. Step 4: Simplify right side
    115,742,320x = 62,328,549,742,314,496
  5. Step 5: Solve for x
    x = 62,328,549,742,314,496/115,742,320
  6. Step 6: Final answer
    x = 538,511,321.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.